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Finding the Fourth Proportional to 138,844.33, 191,606.54 and 75,183.49

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Solution

The fourth proportional to 138,844.33, 191,606.54 and 75,183.49 is: 103,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,844.33 : 191,606.54 = 75,183.49 : x
  2. Step 2: Convert to fraction form
    138,844.33/191,606.54 = 75,183.49/x
  3. Step 3: Cross multiply
    138,844.33x = 191,606.54 × 75,183.49
  4. Step 4: Simplify right side
    138,844.33x = 14,405,648,008.11
  5. Step 5: Solve for x
    x = 14,405,648,008.11/138,844.33
  6. Step 6: Final answer
    x = 103,753.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.