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Finding the Fourth Proportional to 137,872.86, 206,842.55 and 47,902.47

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Solution

The fourth proportional to 137,872.86, 206,842.55 and 47,902.47 is: 71,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872.86 : 206,842.55 = 47,902.47 : x
  2. Step 2: Convert to fraction form
    137,872.86/206,842.55 = 47,902.47/x
  3. Step 3: Cross multiply
    137,872.86x = 206,842.55 × 47,902.47
  4. Step 4: Simplify right side
    137,872.86x = 9,908,268,806.59
  5. Step 5: Solve for x
    x = 9,908,268,806.59/137,872.86
  6. Step 6: Final answer
    x = 71,865.26

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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.