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Finding the Fourth Proportional to 89,819.30, 134,691.89 and 30,659.74

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Solution

The fourth proportional to 89,819.30, 134,691.89 and 30,659.74 is: 45,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,819.30 : 134,691.89 = 30,659.74 : x
  2. Step 2: Convert to fraction form
    89,819.30/134,691.89 = 30,659.74/x
  3. Step 3: Cross multiply
    89,819.30x = 134,691.89 × 30,659.74
  4. Step 4: Simplify right side
    89,819.30x = 4,129,617,837.48
  5. Step 5: Solve for x
    x = 4,129,617,837.48/89,819.30
  6. Step 6: Final answer
    x = 45,976.95

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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.