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Finding the Fourth Proportional to 123,329.76, 170,079.54 and 81,863.40

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Solution

The fourth proportional to 123,329.76, 170,079.54 and 81,863.40 is: 112,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,329.76 : 170,079.54 = 81,863.40 : x
  2. Step 2: Convert to fraction form
    123,329.76/170,079.54 = 81,863.40/x
  3. Step 3: Cross multiply
    123,329.76x = 170,079.54 × 81,863.40
  4. Step 4: Simplify right side
    123,329.76x = 13,923,289,414.84
  5. Step 5: Solve for x
    x = 13,923,289,414.84/123,329.76
  6. Step 6: Final answer
    x = 112,894.81

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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.