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Finding the Fourth Proportional to 71,916, 107,895.24 and 36,880.20

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Solution

The fourth proportional to 71,916, 107,895.24 and 36,880.20 is: 55,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,916 : 107,895.24 = 36,880.20 : x
  2. Step 2: Convert to fraction form
    71,916/107,895.24 = 36,880.20/x
  3. Step 3: Cross multiply
    71,916x = 107,895.24 × 36,880.20
  4. Step 4: Simplify right side
    71,916x = 3,979,198,030.25
  5. Step 5: Solve for x
    x = 3,979,198,030.25/71,916
  6. Step 6: Final answer
    x = 55,331.19

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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.