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Finding the Fourth Proportional to 40,731.78, 61,104.86 and 14,451.78

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Solution

The fourth proportional to 40,731.78, 61,104.86 and 14,451.78 is: 21,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,731.78 : 61,104.86 = 14,451.78 : x
  2. Step 2: Convert to fraction form
    40,731.78/61,104.86 = 14,451.78/x
  3. Step 3: Cross multiply
    40,731.78x = 61,104.86 × 14,451.78
  4. Step 4: Simplify right side
    40,731.78x = 883,073,993.65
  5. Step 5: Solve for x
    x = 883,073,993.65/40,731.78
  6. Step 6: Final answer
    x = 21,680.22

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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.