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Finding the Fourth Proportional to 98,780.80, 148,138.80 and 36,443.20

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Solution

The fourth proportional to 98,780.80, 148,138.80 and 36,443.20 is: 54,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,780.80 : 148,138.80 = 36,443.20 : x
  2. Step 2: Convert to fraction form
    98,780.80/148,138.80 = 36,443.20/x
  3. Step 3: Cross multiply
    98,780.80x = 148,138.80 × 36,443.20
  4. Step 4: Simplify right side
    98,780.80x = 5,398,651,916.16
  5. Step 5: Solve for x
    x = 5,398,651,916.16/98,780.80
  6. Step 6: Final answer
    x = 54,652.85

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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.