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Finding the Fourth Proportional to 54,396.50, 75,069.70 and 31,731.90

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Solution

The fourth proportional to 54,396.50, 75,069.70 and 31,731.90 is: 43,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,396.50 : 75,069.70 = 31,731.90 : x
  2. Step 2: Convert to fraction form
    54,396.50/75,069.70 = 31,731.90/x
  3. Step 3: Cross multiply
    54,396.50x = 75,069.70 × 31,731.90
  4. Step 4: Simplify right side
    54,396.50x = 2,382,104,213.43
  5. Step 5: Solve for x
    x = 2,382,104,213.43/54,396.50
  6. Step 6: Final answer
    x = 43,791.50

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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.