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Finding the Fourth Proportional to 99,982, 137,975.13 and 54,660.17

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Solution

The fourth proportional to 99,982, 137,975.13 and 54,660.17 is: 75,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,982 : 137,975.13 = 54,660.17 : x
  2. Step 2: Convert to fraction form
    99,982/137,975.13 = 54,660.17/x
  3. Step 3: Cross multiply
    99,982x = 137,975.13 × 54,660.17
  4. Step 4: Simplify right side
    99,982x = 7,541,744,061.57
  5. Step 5: Solve for x
    x = 7,541,744,061.57/99,982
  6. Step 6: Final answer
    x = 75,431.02

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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.