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Finding the Fourth Proportional to 83,121.70, 124,694.86 and 30,527.08

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Solution

The fourth proportional to 83,121.70, 124,694.86 and 30,527.08 is: 45,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121.70 : 124,694.86 = 30,527.08 : x
  2. Step 2: Convert to fraction form
    83,121.70/124,694.86 = 30,527.08/x
  3. Step 3: Cross multiply
    83,121.70x = 124,694.86 × 30,527.08
  4. Step 4: Simplify right side
    83,121.70x = 3,806,569,966.81
  5. Step 5: Solve for x
    x = 3,806,569,966.81/83,121.70
  6. Step 6: Final answer
    x = 45,795.14

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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.