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Finding the Fourth Proportional to 83,877.50, 125,816.25 and 21,548

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Solution

The fourth proportional to 83,877.50, 125,816.25 and 21,548 is: 32,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.50 : 125,816.25 = 21,548 : x
  2. Step 2: Convert to fraction form
    83,877.50/125,816.25 = 21,548/x
  3. Step 3: Cross multiply
    83,877.50x = 125,816.25 × 21,548
  4. Step 4: Simplify right side
    83,877.50x = 2,711,088,555
  5. Step 5: Solve for x
    x = 2,711,088,555/83,877.50
  6. Step 6: Final answer
    x = 32,322

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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.