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Finding the Fourth Proportional to 135,642.52, 187,188.24 and 75,213.82

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Solution

The fourth proportional to 135,642.52, 187,188.24 and 75,213.82 is: 103,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.52 : 187,188.24 = 75,213.82 : x
  2. Step 2: Convert to fraction form
    135,642.52/187,188.24 = 75,213.82/x
  3. Step 3: Cross multiply
    135,642.52x = 187,188.24 × 75,213.82
  4. Step 4: Simplify right side
    135,642.52x = 14,079,142,589.48
  5. Step 5: Solve for x
    x = 14,079,142,589.48/135,642.52
  6. Step 6: Final answer
    x = 103,795.94

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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.