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Finding the Fourth Proportional to 98,821.68, 148,115.88 and 36,419.28

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Solution

The fourth proportional to 98,821.68, 148,115.88 and 36,419.28 is: 54,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,821.68 : 148,115.88 = 36,419.28 : x
  2. Step 2: Convert to fraction form
    98,821.68/148,115.88 = 36,419.28/x
  3. Step 3: Cross multiply
    98,821.68x = 148,115.88 × 36,419.28
  4. Step 4: Simplify right side
    98,821.68x = 5,394,273,706.17
  5. Step 5: Solve for x
    x = 5,394,273,706.17/98,821.68
  6. Step 6: Final answer
    x = 54,585.93

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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.