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Finding the Fourth Proportional to 71,687.31, 98,917.65 and 41,055.64

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Solution

The fourth proportional to 71,687.31, 98,917.65 and 41,055.64 is: 56,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,687.31 : 98,917.65 = 41,055.64 : x
  2. Step 2: Convert to fraction form
    71,687.31/98,917.65 = 41,055.64/x
  3. Step 3: Cross multiply
    71,687.31x = 98,917.65 × 41,055.64
  4. Step 4: Simplify right side
    71,687.31x = 4,061,127,428.05
  5. Step 5: Solve for x
    x = 4,061,127,428.05/71,687.31
  6. Step 6: Final answer
    x = 56,650.58

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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.