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Finding the Fourth Proportional to 135,663.44, 187,212 and 75,233.96

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Solution

The fourth proportional to 135,663.44, 187,212 and 75,233.96 is: 103,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,663.44 : 187,212 = 75,233.96 : x
  2. Step 2: Convert to fraction form
    135,663.44/187,212 = 75,233.96/x
  3. Step 3: Cross multiply
    135,663.44x = 187,212 × 75,233.96
  4. Step 4: Simplify right side
    135,663.44x = 14,084,700,119.52
  5. Step 5: Solve for x
    x = 14,084,700,119.52/135,663.44
  6. Step 6: Final answer
    x = 103,820.90

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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.