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Finding the Fourth Proportional to 168,865.32, 252,965.08 and 137,311

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Solution

The fourth proportional to 168,865.32, 252,965.08 and 137,311 is: 205,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,865.32 : 252,965.08 = 137,311 : x
  2. Step 2: Convert to fraction form
    168,865.32/252,965.08 = 137,311/x
  3. Step 3: Cross multiply
    168,865.32x = 252,965.08 × 137,311
  4. Step 4: Simplify right side
    168,865.32x = 34,734,888,099.88
  5. Step 5: Solve for x
    x = 34,734,888,099.88/168,865.32
  6. Step 6: Final answer
    x = 205,695.81

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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.