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Finding the Fourth Proportional to 99,348.80, 149,023.20 and 82,727.60

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Solution

The fourth proportional to 99,348.80, 149,023.20 and 82,727.60 is: 124,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,348.80 : 149,023.20 = 82,727.60 : x
  2. Step 2: Convert to fraction form
    99,348.80/149,023.20 = 82,727.60/x
  3. Step 3: Cross multiply
    99,348.80x = 149,023.20 × 82,727.60
  4. Step 4: Simplify right side
    99,348.80x = 12,328,331,680.32
  5. Step 5: Solve for x
    x = 12,328,331,680.32/99,348.80
  6. Step 6: Final answer
    x = 124,091.40

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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.