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Finding the Fourth Proportional to 81,025.20, 121,246.20 and 54,781.20

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Solution

The fourth proportional to 81,025.20, 121,246.20 and 54,781.20 is: 81,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,025.20 : 121,246.20 = 54,781.20 : x
  2. Step 2: Convert to fraction form
    81,025.20/121,246.20 = 54,781.20/x
  3. Step 3: Cross multiply
    81,025.20x = 121,246.20 × 54,781.20
  4. Step 4: Simplify right side
    81,025.20x = 6,642,012,331.44
  5. Step 5: Solve for x
    x = 6,642,012,331.44/81,025.20
  6. Step 6: Final answer
    x = 81,974.65

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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.