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Finding the Fourth Proportional to 138,546, 207,853.56 and 40,050

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Solution

The fourth proportional to 138,546, 207,853.56 and 40,050 is: 60,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546 : 207,853.56 = 40,050 : x
  2. Step 2: Convert to fraction form
    138,546/207,853.56 = 40,050/x
  3. Step 3: Cross multiply
    138,546x = 207,853.56 × 40,050
  4. Step 4: Simplify right side
    138,546x = 8,324,535,078
  5. Step 5: Solve for x
    x = 8,324,535,078/138,546
  6. Step 6: Final answer
    x = 60,084.99

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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.