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Finding the Fourth Proportional to 81,514.50, 122,263.54 and 22,356.12

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Solution

The fourth proportional to 81,514.50, 122,263.54 and 22,356.12 is: 33,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,514.50 : 122,263.54 = 22,356.12 : x
  2. Step 2: Convert to fraction form
    81,514.50/122,263.54 = 22,356.12/x
  3. Step 3: Cross multiply
    81,514.50x = 122,263.54 × 22,356.12
  4. Step 4: Simplify right side
    81,514.50x = 2,733,338,371.86
  5. Step 5: Solve for x
    x = 2,733,338,371.86/81,514.50
  6. Step 6: Final answer
    x = 33,531.93

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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.