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Finding the Fourth Proportional to 74,387, 102,654.88 and 40,853

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Solution

The fourth proportional to 74,387, 102,654.88 and 40,853 is: 56,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,387 : 102,654.88 = 40,853 : x
  2. Step 2: Convert to fraction form
    74,387/102,654.88 = 40,853/x
  3. Step 3: Cross multiply
    74,387x = 102,654.88 × 40,853
  4. Step 4: Simplify right side
    74,387x = 4,193,759,812.64
  5. Step 5: Solve for x
    x = 4,193,759,812.64/74,387
  6. Step 6: Final answer
    x = 56,377.59

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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.