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Finding the Fourth Proportional to 83,874.50, 125,811.75 and 21,545

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Solution

The fourth proportional to 83,874.50, 125,811.75 and 21,545 is: 32,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.50 : 125,811.75 = 21,545 : x
  2. Step 2: Convert to fraction form
    83,874.50/125,811.75 = 21,545/x
  3. Step 3: Cross multiply
    83,874.50x = 125,811.75 × 21,545
  4. Step 4: Simplify right side
    83,874.50x = 2,710,614,153.75
  5. Step 5: Solve for x
    x = 2,710,614,153.75/83,874.50
  6. Step 6: Final answer
    x = 32,317.50

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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.