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Finding the Fourth Proportional to 235,921.58, 354,034.62 and 86,149.34

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Solution

The fourth proportional to 235,921.58, 354,034.62 and 86,149.34 is: 129,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,921.58 : 354,034.62 = 86,149.34 : x
  2. Step 2: Convert to fraction form
    235,921.58/354,034.62 = 86,149.34/x
  3. Step 3: Cross multiply
    235,921.58x = 354,034.62 × 86,149.34
  4. Step 4: Simplify right side
    235,921.58x = 30,499,848,850.15
  5. Step 5: Solve for x
    x = 30,499,848,850.15/235,921.58
  6. Step 6: Final answer
    x = 129,279.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.