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Finding the Fourth Proportional to 54,855.52, 75,700.62 and 30,983.74

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Solution

The fourth proportional to 54,855.52, 75,700.62 and 30,983.74 is: 42,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.52 : 75,700.62 = 30,983.74 : x
  2. Step 2: Convert to fraction form
    54,855.52/75,700.62 = 30,983.74/x
  3. Step 3: Cross multiply
    54,855.52x = 75,700.62 × 30,983.74
  4. Step 4: Simplify right side
    54,855.52x = 2,345,488,327.92
  5. Step 5: Solve for x
    x = 2,345,488,327.92/54,855.52
  6. Step 6: Final answer
    x = 42,757.56

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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.