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Finding the Fourth Proportional to 71,483.31, 107,115.62 and 38,208.11

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Solution

The fourth proportional to 71,483.31, 107,115.62 and 38,208.11 is: 57,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,483.31 : 107,115.62 = 38,208.11 : x
  2. Step 2: Convert to fraction form
    71,483.31/107,115.62 = 38,208.11/x
  3. Step 3: Cross multiply
    71,483.31x = 107,115.62 × 38,208.11
  4. Step 4: Simplify right side
    71,483.31x = 4,092,684,665.06
  5. Step 5: Solve for x
    x = 4,092,684,665.06/71,483.31
  6. Step 6: Final answer
    x = 57,253.71

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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.