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Finding the Fourth Proportional to 135,675.66, 187,233.46 and 75,242.90

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Solution

The fourth proportional to 135,675.66, 187,233.46 and 75,242.90 is: 103,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,675.66 : 187,233.46 = 75,242.90 : x
  2. Step 2: Convert to fraction form
    135,675.66/187,233.46 = 75,242.90/x
  3. Step 3: Cross multiply
    135,675.66x = 187,233.46 × 75,242.90
  4. Step 4: Simplify right side
    135,675.66x = 14,087,988,507.43
  5. Step 5: Solve for x
    x = 14,087,988,507.43/135,675.66
  6. Step 6: Final answer
    x = 103,835.78

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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.