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Finding the Fourth Proportional to 131,778.54, 181,867.41 and 75,198.42

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Solution

The fourth proportional to 131,778.54, 181,867.41 and 75,198.42 is: 103,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,778.54 : 181,867.41 = 75,198.42 : x
  2. Step 2: Convert to fraction form
    131,778.54/181,867.41 = 75,198.42/x
  3. Step 3: Cross multiply
    131,778.54x = 181,867.41 × 75,198.42
  4. Step 4: Simplify right side
    131,778.54x = 13,676,141,881.49
  5. Step 5: Solve for x
    x = 13,676,141,881.49/131,778.54
  6. Step 6: Final answer
    x = 103,781.25

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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.