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Finding the Fourth Proportional to 71,332.78, 98,438.01 and 39,501

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Solution

The fourth proportional to 71,332.78, 98,438.01 and 39,501 is: 54,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,332.78 : 98,438.01 = 39,501 : x
  2. Step 2: Convert to fraction form
    71,332.78/98,438.01 = 39,501/x
  3. Step 3: Cross multiply
    71,332.78x = 98,438.01 × 39,501
  4. Step 4: Simplify right side
    71,332.78x = 3,888,399,833.01
  5. Step 5: Solve for x
    x = 3,888,399,833.01/71,332.78
  6. Step 6: Final answer
    x = 54,510.70

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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.