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Finding the Fourth Proportional to 137,470.56, 206,213.60 and 42,714.20

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Solution

The fourth proportional to 137,470.56, 206,213.60 and 42,714.20 is: 64,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,470.56 : 206,213.60 = 42,714.20 : x
  2. Step 2: Convert to fraction form
    137,470.56/206,213.60 = 42,714.20/x
  3. Step 3: Cross multiply
    137,470.56x = 206,213.60 × 42,714.20
  4. Step 4: Simplify right side
    137,470.56x = 8,808,248,953.12
  5. Step 5: Solve for x
    x = 8,808,248,953.12/137,470.56
  6. Step 6: Final answer
    x = 64,073.71

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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.