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Finding the Fourth Proportional to 281,310.50, 421,822.20 and 91,648.92

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Solution

The fourth proportional to 281,310.50, 421,822.20 and 91,648.92 is: 137,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,310.50 : 421,822.20 = 91,648.92 : x
  2. Step 2: Convert to fraction form
    281,310.50/421,822.20 = 91,648.92/x
  3. Step 3: Cross multiply
    281,310.50x = 421,822.20 × 91,648.92
  4. Step 4: Simplify right side
    281,310.50x = 38,659,549,062.02
  5. Step 5: Solve for x
    x = 38,659,549,062.02/281,310.50
  6. Step 6: Final answer
    x = 137,426.61

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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.