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Finding the Fourth Proportional to 71,744.81, 99,011.77 and 39,913.02

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Solution

The fourth proportional to 71,744.81, 99,011.77 and 39,913.02 is: 55,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,744.81 : 99,011.77 = 39,913.02 : x
  2. Step 2: Convert to fraction form
    71,744.81/99,011.77 = 39,913.02/x
  3. Step 3: Cross multiply
    71,744.81x = 99,011.77 × 39,913.02
  4. Step 4: Simplify right side
    71,744.81x = 3,951,858,656.46
  5. Step 5: Solve for x
    x = 3,951,858,656.46/71,744.81
  6. Step 6: Final answer
    x = 55,082.16

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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.