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Finding the Fourth Proportional to 54,622.86, 81,983.13 and 27,987.02

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Solution

The fourth proportional to 54,622.86, 81,983.13 and 27,987.02 is: 42,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,622.86 : 81,983.13 = 27,987.02 : x
  2. Step 2: Convert to fraction form
    54,622.86/81,983.13 = 27,987.02/x
  3. Step 3: Cross multiply
    54,622.86x = 81,983.13 × 27,987.02
  4. Step 4: Simplify right side
    54,622.86x = 2,294,463,498.97
  5. Step 5: Solve for x
    x = 2,294,463,498.97/54,622.86
  6. Step 6: Final answer
    x = 42,005.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.