Home / 149,902-206,864.76-82,844.08

Finding the Fourth Proportional to 149,902, 206,864.76 and 82,844.08

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Solution

The fourth proportional to 149,902, 206,864.76 and 82,844.08 is: 114,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,902 : 206,864.76 = 82,844.08 : x
  2. Step 2: Convert to fraction form
    149,902/206,864.76 = 82,844.08/x
  3. Step 3: Cross multiply
    149,902x = 206,864.76 × 82,844.08
  4. Step 4: Simplify right side
    149,902x = 17,137,520,726.62
  5. Step 5: Solve for x
    x = 17,137,520,726.62/149,902
  6. Step 6: Final answer
    x = 114,324.83

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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.