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Finding the Fourth Proportional to 81,752, 122,517.12 and 37,323.68

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Solution

The fourth proportional to 81,752, 122,517.12 and 37,323.68 is: 55,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,752 : 122,517.12 = 37,323.68 : x
  2. Step 2: Convert to fraction form
    81,752/122,517.12 = 37,323.68/x
  3. Step 3: Cross multiply
    81,752x = 122,517.12 × 37,323.68
  4. Step 4: Simplify right side
    81,752x = 4,572,789,781.40
  5. Step 5: Solve for x
    x = 4,572,789,781.40/81,752
  6. Step 6: Final answer
    x = 55,934.90

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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.