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Finding the Fourth Proportional to 83,318.70, 115,200.99 and 72,821.10

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Solution

The fourth proportional to 83,318.70, 115,200.99 and 72,821.10 is: 100,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.70 : 115,200.99 = 72,821.10 : x
  2. Step 2: Convert to fraction form
    83,318.70/115,200.99 = 72,821.10/x
  3. Step 3: Cross multiply
    83,318.70x = 115,200.99 × 72,821.10
  4. Step 4: Simplify right side
    83,318.70x = 8,389,062,812.89
  5. Step 5: Solve for x
    x = 8,389,062,812.89/83,318.70
  6. Step 6: Final answer
    x = 100,686.43

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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.