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Finding the Fourth Proportional to 136,160.76, 187,902 and 75,729.96

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Solution

The fourth proportional to 136,160.76, 187,902 and 75,729.96 is: 104,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,160.76 : 187,902 = 75,729.96 : x
  2. Step 2: Convert to fraction form
    136,160.76/187,902 = 75,729.96/x
  3. Step 3: Cross multiply
    136,160.76x = 187,902 × 75,729.96
  4. Step 4: Simplify right side
    136,160.76x = 14,229,810,943.92
  5. Step 5: Solve for x
    x = 14,229,810,943.92/136,160.76
  6. Step 6: Final answer
    x = 104,507.43

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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.