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Finding the Fourth Proportional to 136,100.97, 187,825.59 and 75,677.82

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Solution

The fourth proportional to 136,100.97, 187,825.59 and 75,677.82 is: 104,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,100.97 : 187,825.59 = 75,677.82 : x
  2. Step 2: Convert to fraction form
    136,100.97/187,825.59 = 75,677.82/x
  3. Step 3: Cross multiply
    136,100.97x = 187,825.59 × 75,677.82
  4. Step 4: Simplify right side
    136,100.97x = 14,214,231,191.41
  5. Step 5: Solve for x
    x = 14,214,231,191.41/136,100.97
  6. Step 6: Final answer
    x = 104,438.87

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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.