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Finding the Fourth Proportional to 71,707, 107,599.38 and 34,771

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Solution

The fourth proportional to 71,707, 107,599.38 and 34,771 is: 52,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707 : 107,599.38 = 34,771 : x
  2. Step 2: Convert to fraction form
    71,707/107,599.38 = 34,771/x
  3. Step 3: Cross multiply
    71,707x = 107,599.38 × 34,771
  4. Step 4: Simplify right side
    71,707x = 3,741,338,041.98
  5. Step 5: Solve for x
    x = 3,741,338,041.98/71,707
  6. Step 6: Final answer
    x = 52,175.35

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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.