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Finding the Fourth Proportional to 149,881.86, 206,844.84 and 86,229.23

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Solution

The fourth proportional to 149,881.86, 206,844.84 and 86,229.23 is: 119,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,881.86 : 206,844.84 = 86,229.23 : x
  2. Step 2: Convert to fraction form
    149,881.86/206,844.84 = 86,229.23/x
  3. Step 3: Cross multiply
    149,881.86x = 206,844.84 × 86,229.23
  4. Step 4: Simplify right side
    149,881.86x = 17,836,071,282.67
  5. Step 5: Solve for x
    x = 17,836,071,282.67/149,881.86
  6. Step 6: Final answer
    x = 119,000.87

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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.