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Finding the Fourth Proportional to 127,909.80, 191,951.10 and 83,428.20

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Solution

The fourth proportional to 127,909.80, 191,951.10 and 83,428.20 is: 125,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,909.80 : 191,951.10 = 83,428.20 : x
  2. Step 2: Convert to fraction form
    127,909.80/191,951.10 = 83,428.20/x
  3. Step 3: Cross multiply
    127,909.80x = 191,951.10 × 83,428.20
  4. Step 4: Simplify right side
    127,909.80x = 16,014,134,761.02
  5. Step 5: Solve for x
    x = 16,014,134,761.02/127,909.80
  6. Step 6: Final answer
    x = 125,198.65

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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.