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Finding the Fourth Proportional to 82,190.70, 123,286.05 and 32,254.20

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Solution

The fourth proportional to 82,190.70, 123,286.05 and 32,254.20 is: 48,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,190.70 : 123,286.05 = 32,254.20 : x
  2. Step 2: Convert to fraction form
    82,190.70/123,286.05 = 32,254.20/x
  3. Step 3: Cross multiply
    82,190.70x = 123,286.05 × 32,254.20
  4. Step 4: Simplify right side
    82,190.70x = 3,976,492,913.91
  5. Step 5: Solve for x
    x = 3,976,492,913.91/82,190.70
  6. Step 6: Final answer
    x = 48,381.30

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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.