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Finding the Fourth Proportional to 138,278.97, 207,483 and 71,682.75

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Solution

The fourth proportional to 138,278.97, 207,483 and 71,682.75 is: 107,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,278.97 : 207,483 = 71,682.75 : x
  2. Step 2: Convert to fraction form
    138,278.97/207,483 = 71,682.75/x
  3. Step 3: Cross multiply
    138,278.97x = 207,483 × 71,682.75
  4. Step 4: Simplify right side
    138,278.97x = 14,872,952,018.25
  5. Step 5: Solve for x
    x = 14,872,952,018.25/138,278.97
  6. Step 6: Final answer
    x = 107,557.58

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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.