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Finding the Fourth Proportional to 92,654.04, 138,979.68 and 29,478

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Solution

The fourth proportional to 92,654.04, 138,979.68 and 29,478 is: 44,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,654.04 : 138,979.68 = 29,478 : x
  2. Step 2: Convert to fraction form
    92,654.04/138,979.68 = 29,478/x
  3. Step 3: Cross multiply
    92,654.04x = 138,979.68 × 29,478
  4. Step 4: Simplify right side
    92,654.04x = 4,096,843,007.04
  5. Step 5: Solve for x
    x = 4,096,843,007.04/92,654.04
  6. Step 6: Final answer
    x = 44,216.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.