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Finding the Fourth Proportional to 82,049.70, 123,000.30 and 57,101.70

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Solution

The fourth proportional to 82,049.70, 123,000.30 and 57,101.70 is: 85,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.70 : 123,000.30 = 57,101.70 : x
  2. Step 2: Convert to fraction form
    82,049.70/123,000.30 = 57,101.70/x
  3. Step 3: Cross multiply
    82,049.70x = 123,000.30 × 57,101.70
  4. Step 4: Simplify right side
    82,049.70x = 7,023,526,230.51
  5. Step 5: Solve for x
    x = 7,023,526,230.51/82,049.70
  6. Step 6: Final answer
    x = 85,600.88

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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.