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Finding the Fourth Proportional to 98,843.60, 148,265.40 and 63,414.20

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Solution

The fourth proportional to 98,843.60, 148,265.40 and 63,414.20 is: 95,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843.60 : 148,265.40 = 63,414.20 : x
  2. Step 2: Convert to fraction form
    98,843.60/148,265.40 = 63,414.20/x
  3. Step 3: Cross multiply
    98,843.60x = 148,265.40 × 63,414.20
  4. Step 4: Simplify right side
    98,843.60x = 9,402,131,728.68
  5. Step 5: Solve for x
    x = 9,402,131,728.68/98,843.60
  6. Step 6: Final answer
    x = 95,121.30

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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.