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Finding the Fourth Proportional to 135,456.80, 186,930.18 and 75,027.42

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Solution

The fourth proportional to 135,456.80, 186,930.18 and 75,027.42 is: 103,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456.80 : 186,930.18 = 75,027.42 : x
  2. Step 2: Convert to fraction form
    135,456.80/186,930.18 = 75,027.42/x
  3. Step 3: Cross multiply
    135,456.80x = 186,930.18 × 75,027.42
  4. Step 4: Simplify right side
    135,456.80x = 14,024,889,125.54
  5. Step 5: Solve for x
    x = 14,024,889,125.54/135,456.80
  6. Step 6: Final answer
    x = 103,537.73

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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.