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Finding the Fourth Proportional to 138,162.62, 207,243.91 and 38,322.82

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Solution

The fourth proportional to 138,162.62, 207,243.91 and 38,322.82 is: 57,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.62 : 207,243.91 = 38,322.82 : x
  2. Step 2: Convert to fraction form
    138,162.62/207,243.91 = 38,322.82/x
  3. Step 3: Cross multiply
    138,162.62x = 207,243.91 × 38,322.82
  4. Step 4: Simplify right side
    138,162.62x = 7,942,170,022.81
  5. Step 5: Solve for x
    x = 7,942,170,022.81/138,162.62
  6. Step 6: Final answer
    x = 57,484.22

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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.