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Finding the Fourth Proportional to 138,647.52, 207,985.86 and 45,160.56

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Solution

The fourth proportional to 138,647.52, 207,985.86 and 45,160.56 is: 67,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,647.52 : 207,985.86 = 45,160.56 : x
  2. Step 2: Convert to fraction form
    138,647.52/207,985.86 = 45,160.56/x
  3. Step 3: Cross multiply
    138,647.52x = 207,985.86 × 45,160.56
  4. Step 4: Simplify right side
    138,647.52x = 9,392,757,909.68
  5. Step 5: Solve for x
    x = 9,392,757,909.68/138,647.52
  6. Step 6: Final answer
    x = 67,745.59

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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.