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Finding the Fourth Proportional to 83,982, 115,991.28 and 57,079.20

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Solution

The fourth proportional to 83,982, 115,991.28 and 57,079.20 is: 78,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982 : 115,991.28 = 57,079.20 : x
  2. Step 2: Convert to fraction form
    83,982/115,991.28 = 57,079.20/x
  3. Step 3: Cross multiply
    83,982x = 115,991.28 × 57,079.20
  4. Step 4: Simplify right side
    83,982x = 6,620,689,469.38
  5. Step 5: Solve for x
    x = 6,620,689,469.38/83,982
  6. Step 6: Final answer
    x = 78,834.62

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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.