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Finding the Fourth Proportional to 71,578.66, 107,398.32 and 38,290

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Solution

The fourth proportional to 71,578.66, 107,398.32 and 38,290 is: 57,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.66 : 107,398.32 = 38,290 : x
  2. Step 2: Convert to fraction form
    71,578.66/107,398.32 = 38,290/x
  3. Step 3: Cross multiply
    71,578.66x = 107,398.32 × 38,290
  4. Step 4: Simplify right side
    71,578.66x = 4,112,281,672.80
  5. Step 5: Solve for x
    x = 4,112,281,672.80/71,578.66
  6. Step 6: Final answer
    x = 57,451.22

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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.