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Finding the Fourth Proportional to 217,142.88, 325,634.34 and 74,951.96

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Solution

The fourth proportional to 217,142.88, 325,634.34 and 74,951.96 is: 112,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,142.88 : 325,634.34 = 74,951.96 : x
  2. Step 2: Convert to fraction form
    217,142.88/325,634.34 = 74,951.96/x
  3. Step 3: Cross multiply
    217,142.88x = 325,634.34 × 74,951.96
  4. Step 4: Simplify right side
    217,142.88x = 24,406,932,026.31
  5. Step 5: Solve for x
    x = 24,406,932,026.31/217,142.88
  6. Step 6: Final answer
    x = 112,400.33

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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.