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Finding the Fourth Proportional to 71,696.49, 107,559.09 and 40,151.40

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Solution

The fourth proportional to 71,696.49, 107,559.09 and 40,151.40 is: 60,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.49 : 107,559.09 = 40,151.40 : x
  2. Step 2: Convert to fraction form
    71,696.49/107,559.09 = 40,151.40/x
  3. Step 3: Cross multiply
    71,696.49x = 107,559.09 × 40,151.40
  4. Step 4: Simplify right side
    71,696.49x = 4,318,648,046.23
  5. Step 5: Solve for x
    x = 4,318,648,046.23/71,696.49
  6. Step 6: Final answer
    x = 60,235.14

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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.