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Finding the Fourth Proportional to 127,614.74, 176,105.46 and 71,031.38

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Solution

The fourth proportional to 127,614.74, 176,105.46 and 71,031.38 is: 98,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,614.74 : 176,105.46 = 71,031.38 : x
  2. Step 2: Convert to fraction form
    127,614.74/176,105.46 = 71,031.38/x
  3. Step 3: Cross multiply
    127,614.74x = 176,105.46 × 71,031.38
  4. Step 4: Simplify right side
    127,614.74x = 12,509,013,849.33
  5. Step 5: Solve for x
    x = 12,509,013,849.33/127,614.74
  6. Step 6: Final answer
    x = 98,021.70

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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.