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Finding the Fourth Proportional to 138,286.62, 190,839.12 and 77,859.39

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Solution

The fourth proportional to 138,286.62, 190,839.12 and 77,859.39 is: 107,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,286.62 : 190,839.12 = 77,859.39 : x
  2. Step 2: Convert to fraction form
    138,286.62/190,839.12 = 77,859.39/x
  3. Step 3: Cross multiply
    138,286.62x = 190,839.12 × 77,859.39
  4. Step 4: Simplify right side
    138,286.62x = 14,858,617,471.34
  5. Step 5: Solve for x
    x = 14,858,617,471.34/138,286.62
  6. Step 6: Final answer
    x = 107,447.98

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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.