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Finding the Fourth Proportional to 54,781.52, 81,776 and 48,138.52

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Solution

The fourth proportional to 54,781.52, 81,776 and 48,138.52 is: 71,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,781.52 : 81,776 = 48,138.52 : x
  2. Step 2: Convert to fraction form
    54,781.52/81,776 = 48,138.52/x
  3. Step 3: Cross multiply
    54,781.52x = 81,776 × 48,138.52
  4. Step 4: Simplify right side
    54,781.52x = 3,936,575,611.52
  5. Step 5: Solve for x
    x = 3,936,575,611.52/54,781.52
  6. Step 6: Final answer
    x = 71,859.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.