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Finding the Fourth Proportional to 83,878.50, 125,817.75 and 21,549

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Solution

The fourth proportional to 83,878.50, 125,817.75 and 21,549 is: 32,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.50 : 125,817.75 = 21,549 : x
  2. Step 2: Convert to fraction form
    83,878.50/125,817.75 = 21,549/x
  3. Step 3: Cross multiply
    83,878.50x = 125,817.75 × 21,549
  4. Step 4: Simplify right side
    83,878.50x = 2,711,246,694.75
  5. Step 5: Solve for x
    x = 2,711,246,694.75/83,878.50
  6. Step 6: Final answer
    x = 32,323.50

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1.5x scale

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.