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Finding the Fourth Proportional to 137,956.80, 206,825.85 and 75,627.30

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Solution

The fourth proportional to 137,956.80, 206,825.85 and 75,627.30 is: 113,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,956.80 : 206,825.85 = 75,627.30 : x
  2. Step 2: Convert to fraction form
    137,956.80/206,825.85 = 75,627.30/x
  3. Step 3: Cross multiply
    137,956.80x = 206,825.85 × 75,627.30
  4. Step 4: Simplify right side
    137,956.80x = 15,641,680,605.71
  5. Step 5: Solve for x
    x = 15,641,680,605.71/137,956.80
  6. Step 6: Final answer
    x = 113,381.00

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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.