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Finding the Fourth Proportional to 71,661.72, 107,350.65 and 49,116.90

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Solution

The fourth proportional to 71,661.72, 107,350.65 and 49,116.90 is: 73,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.72 : 107,350.65 = 49,116.90 : x
  2. Step 2: Convert to fraction form
    71,661.72/107,350.65 = 49,116.90/x
  3. Step 3: Cross multiply
    71,661.72x = 107,350.65 × 49,116.90
  4. Step 4: Simplify right side
    71,661.72x = 5,272,731,140.99
  5. Step 5: Solve for x
    x = 5,272,731,140.99/71,661.72
  6. Step 6: Final answer
    x = 73,578.07

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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.