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Finding the Fourth Proportional to 81,543, 122,332.06 and 25,381.92

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Solution

The fourth proportional to 81,543, 122,332.06 and 25,381.92 is: 38,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,543 : 122,332.06 = 25,381.92 : x
  2. Step 2: Convert to fraction form
    81,543/122,332.06 = 25,381.92/x
  3. Step 3: Cross multiply
    81,543x = 122,332.06 × 25,381.92
  4. Step 4: Simplify right side
    81,543x = 3,105,022,560.36
  5. Step 5: Solve for x
    x = 3,105,022,560.36/81,543
  6. Step 6: Final answer
    x = 38,078.35

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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.