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Finding the Fourth Proportional to 83,281.59, 114,943.11 and 80,513.61

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Solution

The fourth proportional to 83,281.59, 114,943.11 and 80,513.61 is: 111,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.59 : 114,943.11 = 80,513.61 : x
  2. Step 2: Convert to fraction form
    83,281.59/114,943.11 = 80,513.61/x
  3. Step 3: Cross multiply
    83,281.59x = 114,943.11 × 80,513.61
  4. Step 4: Simplify right side
    83,281.59x = 9,254,484,730.73
  5. Step 5: Solve for x
    x = 9,254,484,730.73/83,281.59
  6. Step 6: Final answer
    x = 111,122.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.