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Finding the Fourth Proportional to 154,474.92, 213,125.85 and 86,481.90

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Solution

The fourth proportional to 154,474.92, 213,125.85 and 86,481.90 is: 119,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,474.92 : 213,125.85 = 86,481.90 : x
  2. Step 2: Convert to fraction form
    154,474.92/213,125.85 = 86,481.90/x
  3. Step 3: Cross multiply
    154,474.92x = 213,125.85 × 86,481.90
  4. Step 4: Simplify right side
    154,474.92x = 18,431,528,447.12
  5. Step 5: Solve for x
    x = 18,431,528,447.12/154,474.92
  6. Step 6: Final answer
    x = 119,317.29

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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.