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Finding the Fourth Proportional to 218,103,958.92, 300,978,619.02 and 120,318,789

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Solution

The fourth proportional to 218,103,958.92, 300,978,619.02 and 120,318,789 is: 166,037,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,103,958.92 : 300,978,619.02 = 120,318,789 : x
  2. Step 2: Convert to fraction form
    218,103,958.92/300,978,619.02 = 120,318,789/x
  3. Step 3: Cross multiply
    218,103,958.92x = 300,978,619.02 × 120,318,789
  4. Step 4: Simplify right side
    218,103,958.92x = 36,213,382,955,378,768
  5. Step 5: Solve for x
    x = 36,213,382,955,378,768/218,103,958.92
  6. Step 6: Final answer
    x = 166,037,256.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.