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Finding the Fourth Proportional to 83,989.87, 115,865.19 and 53,750.95

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Solution

The fourth proportional to 83,989.87, 115,865.19 and 53,750.95 is: 74,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989.87 : 115,865.19 = 53,750.95 : x
  2. Step 2: Convert to fraction form
    83,989.87/115,865.19 = 53,750.95/x
  3. Step 3: Cross multiply
    83,989.87x = 115,865.19 × 53,750.95
  4. Step 4: Simplify right side
    83,989.87x = 6,227,864,034.43
  5. Step 5: Solve for x
    x = 6,227,864,034.43/83,989.87
  6. Step 6: Final answer
    x = 74,150.18

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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.