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Finding the Fourth Proportional to 99,641.78, 149,498.30 and 42,691.76

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Solution

The fourth proportional to 99,641.78, 149,498.30 and 42,691.76 is: 64,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,641.78 : 149,498.30 = 42,691.76 : x
  2. Step 2: Convert to fraction form
    99,641.78/149,498.30 = 42,691.76/x
  3. Step 3: Cross multiply
    99,641.78x = 149,498.30 × 42,691.76
  4. Step 4: Simplify right side
    99,641.78x = 6,382,345,544.01
  5. Step 5: Solve for x
    x = 6,382,345,544.01/99,641.78
  6. Step 6: Final answer
    x = 64,052.91

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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.