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Finding the Fourth Proportional to 135,575.88, 187,105.91 and 75,165.48

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Solution

The fourth proportional to 135,575.88, 187,105.91 and 75,165.48 is: 103,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,575.88 : 187,105.91 = 75,165.48 : x
  2. Step 2: Convert to fraction form
    135,575.88/187,105.91 = 75,165.48/x
  3. Step 3: Cross multiply
    135,575.88x = 187,105.91 × 75,165.48
  4. Step 4: Simplify right side
    135,575.88x = 14,063,905,160.16
  5. Step 5: Solve for x
    x = 14,063,905,160.16/135,575.88
  6. Step 6: Final answer
    x = 103,734.57

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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.