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Finding the Fourth Proportional to 138,141.30, 207,274.80 and 67,025.54

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Solution

The fourth proportional to 138,141.30, 207,274.80 and 67,025.54 is: 100,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,141.30 : 207,274.80 = 67,025.54 : x
  2. Step 2: Convert to fraction form
    138,141.30/207,274.80 = 67,025.54/x
  3. Step 3: Cross multiply
    138,141.30x = 207,274.80 × 67,025.54
  4. Step 4: Simplify right side
    138,141.30x = 13,892,705,398.39
  5. Step 5: Solve for x
    x = 13,892,705,398.39/138,141.30
  6. Step 6: Final answer
    x = 100,568.80

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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.