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Finding the Fourth Proportional to 83,711.94, 115,443.18 and 54,981.04

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Solution

The fourth proportional to 83,711.94, 115,443.18 and 54,981.04 is: 75,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,711.94 : 115,443.18 = 54,981.04 : x
  2. Step 2: Convert to fraction form
    83,711.94/115,443.18 = 54,981.04/x
  3. Step 3: Cross multiply
    83,711.94x = 115,443.18 × 54,981.04
  4. Step 4: Simplify right side
    83,711.94x = 6,347,185,520.09
  5. Step 5: Solve for x
    x = 6,347,185,520.09/83,711.94
  6. Step 6: Final answer
    x = 75,821.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.