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Finding the Fourth Proportional to 55,366, 83,082.21 and 20,309.20

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Solution

The fourth proportional to 55,366, 83,082.21 and 20,309.20 is: 30,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,366 : 83,082.21 = 20,309.20 : x
  2. Step 2: Convert to fraction form
    55,366/83,082.21 = 20,309.20/x
  3. Step 3: Cross multiply
    55,366x = 83,082.21 × 20,309.20
  4. Step 4: Simplify right side
    55,366x = 1,687,333,219.33
  5. Step 5: Solve for x
    x = 1,687,333,219.33/55,366
  6. Step 6: Final answer
    x = 30,475.98

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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.