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Finding the Fourth Proportional to 127,713.68, 176,103.96 and 87,434

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Solution

The fourth proportional to 127,713.68, 176,103.96 and 87,434 is: 120,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,713.68 : 176,103.96 = 87,434 : x
  2. Step 2: Convert to fraction form
    127,713.68/176,103.96 = 87,434/x
  3. Step 3: Cross multiply
    127,713.68x = 176,103.96 × 87,434
  4. Step 4: Simplify right side
    127,713.68x = 15,397,473,638.64
  5. Step 5: Solve for x
    x = 15,397,473,638.64/127,713.68
  6. Step 6: Final answer
    x = 120,562.45

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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.