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Finding the Fourth Proportional to 135,645.76, 187,200.48 and 75,221.92

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Solution

The fourth proportional to 135,645.76, 187,200.48 and 75,221.92 is: 103,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,645.76 : 187,200.48 = 75,221.92 : x
  2. Step 2: Convert to fraction form
    135,645.76/187,200.48 = 75,221.92/x
  3. Step 3: Cross multiply
    135,645.76x = 187,200.48 × 75,221.92
  4. Step 4: Simplify right side
    135,645.76x = 14,081,579,530.52
  5. Step 5: Solve for x
    x = 14,081,579,530.52/135,645.76
  6. Step 6: Final answer
    x = 103,811.42

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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.