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Finding the Fourth Proportional to 67,712.76, 93,412.80 and 39,402

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Solution

The fourth proportional to 67,712.76, 93,412.80 and 39,402 is: 54,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,712.76 : 93,412.80 = 39,402 : x
  2. Step 2: Convert to fraction form
    67,712.76/93,412.80 = 39,402/x
  3. Step 3: Cross multiply
    67,712.76x = 93,412.80 × 39,402
  4. Step 4: Simplify right side
    67,712.76x = 3,680,651,145.60
  5. Step 5: Solve for x
    x = 3,680,651,145.60/67,712.76
  6. Step 6: Final answer
    x = 54,356.83

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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.