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Finding the Fourth Proportional to 135,759.86, 187,358.86 and 75,341.92

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Solution

The fourth proportional to 135,759.86, 187,358.86 and 75,341.92 is: 103,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,759.86 : 187,358.86 = 75,341.92 : x
  2. Step 2: Convert to fraction form
    135,759.86/187,358.86 = 75,341.92/x
  3. Step 3: Cross multiply
    135,759.86x = 187,358.86 × 75,341.92
  4. Step 4: Simplify right side
    135,759.86x = 14,115,976,241.41
  5. Step 5: Solve for x
    x = 14,115,976,241.41/135,759.86
  6. Step 6: Final answer
    x = 103,977.54

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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.