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Finding the Fourth Proportional to 92,092.54, 138,191.76 and 38,780.32

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Solution

The fourth proportional to 92,092.54, 138,191.76 and 38,780.32 is: 58,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,092.54 : 138,191.76 = 38,780.32 : x
  2. Step 2: Convert to fraction form
    92,092.54/138,191.76 = 38,780.32/x
  3. Step 3: Cross multiply
    92,092.54x = 138,191.76 × 38,780.32
  4. Step 4: Simplify right side
    92,092.54x = 5,359,120,674.16
  5. Step 5: Solve for x
    x = 5,359,120,674.16/92,092.54
  6. Step 6: Final answer
    x = 58,192.78

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1.5x scale

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.