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Finding the Fourth Proportional to 270,957.27, 406,688.09 and 137,937.12

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Solution

The fourth proportional to 270,957.27, 406,688.09 and 137,937.12 is: 207,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,957.27 : 406,688.09 = 137,937.12 : x
  2. Step 2: Convert to fraction form
    270,957.27/406,688.09 = 137,937.12/x
  3. Step 3: Cross multiply
    270,957.27x = 406,688.09 × 137,937.12
  4. Step 4: Simplify right side
    270,957.27x = 56,097,383,872.90
  5. Step 5: Solve for x
    x = 56,097,383,872.90/270,957.27
  6. Step 6: Final answer
    x = 207,034.06

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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.