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Finding the Fourth Proportional to 54,658.53, 81,987.80 and 31,268.57

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Solution

The fourth proportional to 54,658.53, 81,987.80 and 31,268.57 is: 46,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.53 : 81,987.80 = 31,268.57 : x
  2. Step 2: Convert to fraction form
    54,658.53/81,987.80 = 31,268.57/x
  3. Step 3: Cross multiply
    54,658.53x = 81,987.80 × 31,268.57
  4. Step 4: Simplify right side
    54,658.53x = 2,563,640,697.16
  5. Step 5: Solve for x
    x = 2,563,640,697.16/54,658.53
  6. Step 6: Final answer
    x = 46,902.85

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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.