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Finding the Fourth Proportional to 138,164.28, 207,108 and 58,221.54

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Solution

The fourth proportional to 138,164.28, 207,108 and 58,221.54 is: 87,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.28 : 207,108 = 58,221.54 : x
  2. Step 2: Convert to fraction form
    138,164.28/207,108 = 58,221.54/x
  3. Step 3: Cross multiply
    138,164.28x = 207,108 × 58,221.54
  4. Step 4: Simplify right side
    138,164.28x = 12,058,146,706.32
  5. Step 5: Solve for x
    x = 12,058,146,706.32/138,164.28
  6. Step 6: Final answer
    x = 87,273.98

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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.