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Finding the Fourth Proportional to 81,642.33, 122,444.87 and 22,483.17

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Solution

The fourth proportional to 81,642.33, 122,444.87 and 22,483.17 is: 33,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,642.33 : 122,444.87 = 22,483.17 : x
  2. Step 2: Convert to fraction form
    81,642.33/122,444.87 = 22,483.17/x
  3. Step 3: Cross multiply
    81,642.33x = 122,444.87 × 22,483.17
  4. Step 4: Simplify right side
    81,642.33x = 2,752,948,715.42
  5. Step 5: Solve for x
    x = 2,752,948,715.42/81,642.33
  6. Step 6: Final answer
    x = 33,719.62

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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.