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Finding the Fourth Proportional to 98,617.32, 147,934.14 and 42,458.80

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Solution

The fourth proportional to 98,617.32, 147,934.14 and 42,458.80 is: 63,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,617.32 : 147,934.14 = 42,458.80 : x
  2. Step 2: Convert to fraction form
    98,617.32/147,934.14 = 42,458.80/x
  3. Step 3: Cross multiply
    98,617.32x = 147,934.14 × 42,458.80
  4. Step 4: Simplify right side
    98,617.32x = 6,281,106,063.43
  5. Step 5: Solve for x
    x = 6,281,106,063.43/98,617.32
  6. Step 6: Final answer
    x = 63,691.71

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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.