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Finding the Fourth Proportional to 71,657.74, 98,889.72 and 41,440.18

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Solution

The fourth proportional to 71,657.74, 98,889.72 and 41,440.18 is: 57,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,657.74 : 98,889.72 = 41,440.18 : x
  2. Step 2: Convert to fraction form
    71,657.74/98,889.72 = 41,440.18/x
  3. Step 3: Cross multiply
    71,657.74x = 98,889.72 × 41,440.18
  4. Step 4: Simplify right side
    71,657.74x = 4,098,007,796.95
  5. Step 5: Solve for x
    x = 4,098,007,796.95/71,657.74
  6. Step 6: Final answer
    x = 57,188.63

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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.