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Finding the Fourth Proportional to 83,149.20, 124,723.80 and 49,906.80

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Solution

The fourth proportional to 83,149.20, 124,723.80 and 49,906.80 is: 74,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.20 : 124,723.80 = 49,906.80 : x
  2. Step 2: Convert to fraction form
    83,149.20/124,723.80 = 49,906.80/x
  3. Step 3: Cross multiply
    83,149.20x = 124,723.80 × 49,906.80
  4. Step 4: Simplify right side
    83,149.20x = 6,224,565,741.84
  5. Step 5: Solve for x
    x = 6,224,565,741.84/83,149.20
  6. Step 6: Final answer
    x = 74,860.20

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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.