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Finding the Fourth Proportional to 135,879.34, 187,536.56 and 78,551.90

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Solution

The fourth proportional to 135,879.34, 187,536.56 and 78,551.90 is: 108,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,879.34 : 187,536.56 = 78,551.90 : x
  2. Step 2: Convert to fraction form
    135,879.34/187,536.56 = 78,551.90/x
  3. Step 3: Cross multiply
    135,879.34x = 187,536.56 × 78,551.90
  4. Step 4: Simplify right side
    135,879.34x = 14,731,353,107.46
  5. Step 5: Solve for x
    x = 14,731,353,107.46/135,879.34
  6. Step 6: Final answer
    x = 108,414.96

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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.