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Finding the Fourth Proportional to 51,691.96, 71,405.31 and 40,503.03

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Solution

The fourth proportional to 51,691.96, 71,405.31 and 40,503.03 is: 55,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,691.96 : 71,405.31 = 40,503.03 : x
  2. Step 2: Convert to fraction form
    51,691.96/71,405.31 = 40,503.03/x
  3. Step 3: Cross multiply
    51,691.96x = 71,405.31 × 40,503.03
  4. Step 4: Simplify right side
    51,691.96x = 2,892,131,413.09
  5. Step 5: Solve for x
    x = 2,892,131,413.09/51,691.96
  6. Step 6: Final answer
    x = 55,949.35

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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.