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Finding the Fourth Proportional to 81,534.68, 122,288.90 and 22,356.62

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Solution

The fourth proportional to 81,534.68, 122,288.90 and 22,356.62 is: 33,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,534.68 : 122,288.90 = 22,356.62 : x
  2. Step 2: Convert to fraction form
    81,534.68/122,288.90 = 22,356.62/x
  3. Step 3: Cross multiply
    81,534.68x = 122,288.90 × 22,356.62
  4. Step 4: Simplify right side
    81,534.68x = 2,733,966,467.52
  5. Step 5: Solve for x
    x = 2,733,966,467.52/81,534.68
  6. Step 6: Final answer
    x = 33,531.33

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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.