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Finding the Fourth Proportional to 81,164.90, 112,042.06 and 49,343.96

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Solution

The fourth proportional to 81,164.90, 112,042.06 and 49,343.96 is: 68,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,164.90 : 112,042.06 = 49,343.96 : x
  2. Step 2: Convert to fraction form
    81,164.90/112,042.06 = 49,343.96/x
  3. Step 3: Cross multiply
    81,164.90x = 112,042.06 × 49,343.96
  4. Step 4: Simplify right side
    81,164.90x = 5,528,598,926.96
  5. Step 5: Solve for x
    x = 5,528,598,926.96/81,164.90
  6. Step 6: Final answer
    x = 68,115.64

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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.