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Finding the Fourth Proportional to 138,162.32, 207,243.48 and 49,410.44

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Solution

The fourth proportional to 138,162.32, 207,243.48 and 49,410.44 is: 74,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.32 : 207,243.48 = 49,410.44 : x
  2. Step 2: Convert to fraction form
    138,162.32/207,243.48 = 49,410.44/x
  3. Step 3: Cross multiply
    138,162.32x = 207,243.48 × 49,410.44
  4. Step 4: Simplify right side
    138,162.32x = 10,239,991,533.93
  5. Step 5: Solve for x
    x = 10,239,991,533.93/138,162.32
  6. Step 6: Final answer
    x = 74,115.66

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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.