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Finding the Fourth Proportional to 57,082.50, 85,624.02 and 20,146.50

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Solution

The fourth proportional to 57,082.50, 85,624.02 and 20,146.50 is: 30,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.50 : 85,624.02 = 20,146.50 : x
  2. Step 2: Convert to fraction form
    57,082.50/85,624.02 = 20,146.50/x
  3. Step 3: Cross multiply
    57,082.50x = 85,624.02 × 20,146.50
  4. Step 4: Simplify right side
    57,082.50x = 1,725,024,318.93
  5. Step 5: Solve for x
    x = 1,725,024,318.93/57,082.50
  6. Step 6: Final answer
    x = 30,219.85

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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.