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Finding the Fourth Proportional to 149,557, 206,403.24 and 82,489

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Solution

The fourth proportional to 149,557, 206,403.24 and 82,489 is: 113,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,557 : 206,403.24 = 82,489 : x
  2. Step 2: Convert to fraction form
    149,557/206,403.24 = 82,489/x
  3. Step 3: Cross multiply
    149,557x = 206,403.24 × 82,489
  4. Step 4: Simplify right side
    149,557x = 17,025,996,864.36
  5. Step 5: Solve for x
    x = 17,025,996,864.36/149,557
  6. Step 6: Final answer
    x = 113,842.86

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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.