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Finding the Fourth Proportional to 123,781.34, 170,846.34 and 78,521.78

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Solution

The fourth proportional to 123,781.34, 170,846.34 and 78,521.78 is: 108,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,781.34 : 170,846.34 = 78,521.78 : x
  2. Step 2: Convert to fraction form
    123,781.34/170,846.34 = 78,521.78/x
  3. Step 3: Cross multiply
    123,781.34x = 170,846.34 × 78,521.78
  4. Step 4: Simplify right side
    123,781.34x = 13,415,158,723.29
  5. Step 5: Solve for x
    x = 13,415,158,723.29/123,781.34
  6. Step 6: Final answer
    x = 108,377.88

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