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Finding the Fourth Proportional to 92,287.40, 138,431.10 and 29,957.90

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Solution

The fourth proportional to 92,287.40, 138,431.10 and 29,957.90 is: 44,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,287.40 : 138,431.10 = 29,957.90 : x
  2. Step 2: Convert to fraction form
    92,287.40/138,431.10 = 29,957.90/x
  3. Step 3: Cross multiply
    92,287.40x = 138,431.10 × 29,957.90
  4. Step 4: Simplify right side
    92,287.40x = 4,147,105,050.69
  5. Step 5: Solve for x
    x = 4,147,105,050.69/92,287.40
  6. Step 6: Final answer
    x = 44,936.85

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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.