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Finding the Fourth Proportional to 147,082.70, 220,105.65 and 102,500.30

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Solution

The fourth proportional to 147,082.70, 220,105.65 and 102,500.30 is: 153,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,082.70 : 220,105.65 = 102,500.30 : x
  2. Step 2: Convert to fraction form
    147,082.70/220,105.65 = 102,500.30/x
  3. Step 3: Cross multiply
    147,082.70x = 220,105.65 × 102,500.30
  4. Step 4: Simplify right side
    147,082.70x = 22,560,895,156.70
  5. Step 5: Solve for x
    x = 22,560,895,156.70/147,082.70
  6. Step 6: Final answer
    x = 153,389.18

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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.