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Finding the Fourth Proportional to 83,510.76, 114,954.48 and 72,882.12

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Solution

The fourth proportional to 83,510.76, 114,954.48 and 72,882.12 is: 100,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,510.76 : 114,954.48 = 72,882.12 : x
  2. Step 2: Convert to fraction form
    83,510.76/114,954.48 = 72,882.12/x
  3. Step 3: Cross multiply
    83,510.76x = 114,954.48 × 72,882.12
  4. Step 4: Simplify right side
    83,510.76x = 8,378,126,205.90
  5. Step 5: Solve for x
    x = 8,378,126,205.90/83,510.76
  6. Step 6: Final answer
    x = 100,323.91

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1.5x scale

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.