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Finding the Fourth Proportional to 137,740.05, 206,654.72 and 67,570.16

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Solution

The fourth proportional to 137,740.05, 206,654.72 and 67,570.16 is: 101,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740.05 : 206,654.72 = 67,570.16 : x
  2. Step 2: Convert to fraction form
    137,740.05/206,654.72 = 67,570.16/x
  3. Step 3: Cross multiply
    137,740.05x = 206,654.72 × 67,570.16
  4. Step 4: Simplify right side
    137,740.05x = 13,963,691,124.03
  5. Step 5: Solve for x
    x = 13,963,691,124.03/137,740.05
  6. Step 6: Final answer
    x = 101,377.13

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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.