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Finding the Fourth Proportional to 149,758.50, 206,675.14 and 81,781.79

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Solution

The fourth proportional to 149,758.50, 206,675.14 and 81,781.79 is: 112,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758.50 : 206,675.14 = 81,781.79 : x
  2. Step 2: Convert to fraction form
    149,758.50/206,675.14 = 81,781.79/x
  3. Step 3: Cross multiply
    149,758.50x = 206,675.14 × 81,781.79
  4. Step 4: Simplify right side
    149,758.50x = 16,902,262,897.70
  5. Step 5: Solve for x
    x = 16,902,262,897.70/149,758.50
  6. Step 6: Final answer
    x = 112,863.46

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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.