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Finding the Fourth Proportional to 127,754.64, 176,306.76 and 71,166

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Solution

The fourth proportional to 127,754.64, 176,306.76 and 71,166 is: 98,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,754.64 : 176,306.76 = 71,166 : x
  2. Step 2: Convert to fraction form
    127,754.64/176,306.76 = 71,166/x
  3. Step 3: Cross multiply
    127,754.64x = 176,306.76 × 71,166
  4. Step 4: Simplify right side
    127,754.64x = 12,547,046,882.16
  5. Step 5: Solve for x
    x = 12,547,046,882.16/127,754.64
  6. Step 6: Final answer
    x = 98,212.06

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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.