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Finding the Fourth Proportional to 149,617.98, 206,458.47 and 82,545.66

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Solution

The fourth proportional to 149,617.98, 206,458.47 and 82,545.66 is: 113,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,617.98 : 206,458.47 = 82,545.66 : x
  2. Step 2: Convert to fraction form
    149,617.98/206,458.47 = 82,545.66/x
  3. Step 3: Cross multiply
    149,617.98x = 206,458.47 × 82,545.66
  4. Step 4: Simplify right side
    149,617.98x = 17,042,250,668.74
  5. Step 5: Solve for x
    x = 17,042,250,668.74/149,617.98
  6. Step 6: Final answer
    x = 113,905.10

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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.