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Finding the Fourth Proportional to 72,966.81, 100,694.20 and 39,432.81

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Solution

The fourth proportional to 72,966.81, 100,694.20 and 39,432.81 is: 54,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,966.81 : 100,694.20 = 39,432.81 : x
  2. Step 2: Convert to fraction form
    72,966.81/100,694.20 = 39,432.81/x
  3. Step 3: Cross multiply
    72,966.81x = 100,694.20 × 39,432.81
  4. Step 4: Simplify right side
    72,966.81x = 3,970,655,256.70
  5. Step 5: Solve for x
    x = 3,970,655,256.70/72,966.81
  6. Step 6: Final answer
    x = 54,417.28

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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.