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Finding the Fourth Proportional to 83,817.70, 125,872.35 and 81,193.30

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Solution

The fourth proportional to 83,817.70, 125,872.35 and 81,193.30 is: 121,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817.70 : 125,872.35 = 81,193.30 : x
  2. Step 2: Convert to fraction form
    83,817.70/125,872.35 = 81,193.30/x
  3. Step 3: Cross multiply
    83,817.70x = 125,872.35 × 81,193.30
  4. Step 4: Simplify right side
    83,817.70x = 10,219,991,475.26
  5. Step 5: Solve for x
    x = 10,219,991,475.26/83,817.70
  6. Step 6: Final answer
    x = 121,931.18

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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.