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Finding the Fourth Proportional to 83,872.50, 125,808.75 and 21,543

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Solution

The fourth proportional to 83,872.50, 125,808.75 and 21,543 is: 32,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,872.50 : 125,808.75 = 21,543 : x
  2. Step 2: Convert to fraction form
    83,872.50/125,808.75 = 21,543/x
  3. Step 3: Cross multiply
    83,872.50x = 125,808.75 × 21,543
  4. Step 4: Simplify right side
    83,872.50x = 2,710,297,901.25
  5. Step 5: Solve for x
    x = 2,710,297,901.25/83,872.50
  6. Step 6: Final answer
    x = 32,314.50

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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.