Call parent constructor with private members in parent class

It is possible to call the parent constructor having the members of it in private? I know that with protected this works, but I prefer to use private, is there any way to solve this?

class Product {

    std::string id;
    std::string description;
    double rateIVA;

public:
    Product(std::string id, std::string description, double rateIVA);
    ~Product();

    // Abstract Methods / Pure Virtual Methods
    virtual double getIVAValue() = 0;
    virtual double getSaleValue() = 0;

    // Virtual Method
    virtual void print() const;

    // Setters & Getters
    void setId(std::string id);
    std::string getId() const;
    void setDescription(std::string description);
    std::string getDescription() const;
    void setRateIVA(double rateIVA);


    double getRateIVA() const;
};

// Parent Class
class FixedPriceProduct : protected Product {

    double price;

    public:
        FixedPriceProduct();
            FixedPriceProduct(double price); // Implement here
        ~FixedPriceProduct();

        double getIVAValue();
        double getSaleValue();

        virtual void print() const;
};