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Finding the Fourth Proportional to 149,620, 206,475.61 and 82,552

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Solution

The fourth proportional to 149,620, 206,475.61 and 82,552 is: 113,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,620 : 206,475.61 = 82,552 : x
  2. Step 2: Convert to fraction form
    149,620/206,475.61 = 82,552/x
  3. Step 3: Cross multiply
    149,620x = 206,475.61 × 82,552
  4. Step 4: Simplify right side
    149,620x = 17,044,974,143.96
  5. Step 5: Solve for x
    x = 17,044,974,143.96/149,620
  6. Step 6: Final answer
    x = 113,921.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.