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Finding the Fourth Proportional to 217,194.80, 325,824.60 and 76,942.40

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Solution

The fourth proportional to 217,194.80, 325,824.60 and 76,942.40 is: 115,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,194.80 : 325,824.60 = 76,942.40 : x
  2. Step 2: Convert to fraction form
    217,194.80/325,824.60 = 76,942.40/x
  3. Step 3: Cross multiply
    217,194.80x = 325,824.60 × 76,942.40
  4. Step 4: Simplify right side
    217,194.80x = 25,069,726,703.04
  5. Step 5: Solve for x
    x = 25,069,726,703.04/217,194.80
  6. Step 6: Final answer
    x = 115,425.08

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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.