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Finding the Fourth Proportional to 136,065.92, 187,770.80 and 75,634.64

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Solution

The fourth proportional to 136,065.92, 187,770.80 and 75,634.64 is: 104,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,065.92 : 187,770.80 = 75,634.64 : x
  2. Step 2: Convert to fraction form
    136,065.92/187,770.80 = 75,634.64/x
  3. Step 3: Cross multiply
    136,065.92x = 187,770.80 × 75,634.64
  4. Step 4: Simplify right side
    136,065.92x = 14,201,976,860.51
  5. Step 5: Solve for x
    x = 14,201,976,860.51/136,065.92
  6. Step 6: Final answer
    x = 104,375.71

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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.