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Finding the Fourth Proportional to 149,479.88, 206,282.25 and 82,411.88

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Solution

The fourth proportional to 149,479.88, 206,282.25 and 82,411.88 is: 113,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,479.88 : 206,282.25 = 82,411.88 : x
  2. Step 2: Convert to fraction form
    149,479.88/206,282.25 = 82,411.88/x
  3. Step 3: Cross multiply
    149,479.88x = 206,282.25 × 82,411.88
  4. Step 4: Simplify right side
    149,479.88x = 17,000,107,001.72
  5. Step 5: Solve for x
    x = 17,000,107,001.72/149,479.88
  6. Step 6: Final answer
    x = 113,728.40

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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.