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Finding the Fourth Proportional to 81,431.80, 122,406.90 and 76,766.20

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Solution

The fourth proportional to 81,431.80, 122,406.90 and 76,766.20 is: 115,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,431.80 : 122,406.90 = 76,766.20 : x
  2. Step 2: Convert to fraction form
    81,431.80/122,406.90 = 76,766.20/x
  3. Step 3: Cross multiply
    81,431.80x = 122,406.90 × 76,766.20
  4. Step 4: Simplify right side
    81,431.80x = 9,396,712,566.78
  5. Step 5: Solve for x
    x = 9,396,712,566.78/81,431.80
  6. Step 6: Final answer
    x = 115,393.65

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1.5x scale

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.