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Finding the Fourth Proportional to 138,448.40, 207,661.80 and 54,192.20

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Solution

The fourth proportional to 138,448.40, 207,661.80 and 54,192.20 is: 81,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,448.40 : 207,661.80 = 54,192.20 : x
  2. Step 2: Convert to fraction form
    138,448.40/207,661.80 = 54,192.20/x
  3. Step 3: Cross multiply
    138,448.40x = 207,661.80 × 54,192.20
  4. Step 4: Simplify right side
    138,448.40x = 11,253,649,797.96
  5. Step 5: Solve for x
    x = 11,253,649,797.96/138,448.40
  6. Step 6: Final answer
    x = 81,284.07

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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.