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Finding the Fourth Proportional to 138,318.20, 207,477.30 and 120,822.20

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Solution

The fourth proportional to 138,318.20, 207,477.30 and 120,822.20 is: 181,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,318.20 : 207,477.30 = 120,822.20 : x
  2. Step 2: Convert to fraction form
    138,318.20/207,477.30 = 120,822.20/x
  3. Step 3: Cross multiply
    138,318.20x = 207,477.30 × 120,822.20
  4. Step 4: Simplify right side
    138,318.20x = 25,067,863,836.06
  5. Step 5: Solve for x
    x = 25,067,863,836.06/138,318.20
  6. Step 6: Final answer
    x = 181,233.30

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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.