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Finding the Fourth Proportional to 54,000, 74,527.20 and 31,644

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Solution

The fourth proportional to 54,000, 74,527.20 and 31,644 is: 43,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000 : 74,527.20 = 31,644 : x
  2. Step 2: Convert to fraction form
    54,000/74,527.20 = 31,644/x
  3. Step 3: Cross multiply
    54,000x = 74,527.20 × 31,644
  4. Step 4: Simplify right side
    54,000x = 2,358,338,716.80
  5. Step 5: Solve for x
    x = 2,358,338,716.80/54,000
  6. Step 6: Final answer
    x = 43,672.94

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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.