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Finding the Fourth Proportional to 86,781.66, 119,757.84 and 48,540.77

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Solution

The fourth proportional to 86,781.66, 119,757.84 and 48,540.77 is: 66,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781.66 : 119,757.84 = 48,540.77 : x
  2. Step 2: Convert to fraction form
    86,781.66/119,757.84 = 48,540.77/x
  3. Step 3: Cross multiply
    86,781.66x = 119,757.84 × 48,540.77
  4. Step 4: Simplify right side
    86,781.66x = 5,813,137,168.35
  5. Step 5: Solve for x
    x = 5,813,137,168.35/86,781.66
  6. Step 6: Final answer
    x = 66,985.78

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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.