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Finding the Fourth Proportional to 131,527.52, 181,508 and 71,098

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Solution

The fourth proportional to 131,527.52, 181,508 and 71,098 is: 98,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,527.52 : 181,508 = 71,098 : x
  2. Step 2: Convert to fraction form
    131,527.52/181,508 = 71,098/x
  3. Step 3: Cross multiply
    131,527.52x = 181,508 × 71,098
  4. Step 4: Simplify right side
    131,527.52x = 12,904,855,784
  5. Step 5: Solve for x
    x = 12,904,855,784/131,527.52
  6. Step 6: Final answer
    x = 98,115.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.