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Finding the Fourth Proportional to 83,696.20, 125,544.30 and 82,821.40

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Solution

The fourth proportional to 83,696.20, 125,544.30 and 82,821.40 is: 124,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,696.20 : 125,544.30 = 82,821.40 : x
  2. Step 2: Convert to fraction form
    83,696.20/125,544.30 = 82,821.40/x
  3. Step 3: Cross multiply
    83,696.20x = 125,544.30 × 82,821.40
  4. Step 4: Simplify right side
    83,696.20x = 10,397,754,688.02
  5. Step 5: Solve for x
    x = 10,397,754,688.02/83,696.20
  6. Step 6: Final answer
    x = 124,232.10

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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.