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Finding the Fourth Proportional to 82,766.60, 124,149.90 and 80,822.60

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Solution

The fourth proportional to 82,766.60, 124,149.90 and 80,822.60 is: 121,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,766.60 : 124,149.90 = 80,822.60 : x
  2. Step 2: Convert to fraction form
    82,766.60/124,149.90 = 80,822.60/x
  3. Step 3: Cross multiply
    82,766.60x = 124,149.90 × 80,822.60
  4. Step 4: Simplify right side
    82,766.60x = 10,034,117,707.74
  5. Step 5: Solve for x
    x = 10,034,117,707.74/82,766.60
  6. Step 6: Final answer
    x = 121,233.90

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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.