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Finding the Fourth Proportional to 103,891.31, 155,657.90 and 81,141.04

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Solution

The fourth proportional to 103,891.31, 155,657.90 and 81,141.04 is: 121,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,891.31 : 155,657.90 = 81,141.04 : x
  2. Step 2: Convert to fraction form
    103,891.31/155,657.90 = 81,141.04/x
  3. Step 3: Cross multiply
    103,891.31x = 155,657.90 × 81,141.04
  4. Step 4: Simplify right side
    103,891.31x = 12,630,244,287.64
  5. Step 5: Solve for x
    x = 12,630,244,287.64/103,891.31
  6. Step 6: Final answer
    x = 121,571.71

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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.