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Finding the Fourth Proportional to 127,894.38, 191,856.39 and 42,512.88

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Solution

The fourth proportional to 127,894.38, 191,856.39 and 42,512.88 is: 63,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,894.38 : 191,856.39 = 42,512.88 : x
  2. Step 2: Convert to fraction form
    127,894.38/191,856.39 = 42,512.88/x
  3. Step 3: Cross multiply
    127,894.38x = 191,856.39 × 42,512.88
  4. Step 4: Simplify right side
    127,894.38x = 8,156,367,685.30
  5. Step 5: Solve for x
    x = 8,156,367,685.30/127,894.38
  6. Step 6: Final answer
    x = 63,774.25

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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.