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Finding the Fourth Proportional to 217,133.72, 325,638.17 and 74,942.07

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Solution

The fourth proportional to 217,133.72, 325,638.17 and 74,942.07 is: 112,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,133.72 : 325,638.17 = 74,942.07 : x
  2. Step 2: Convert to fraction form
    217,133.72/325,638.17 = 74,942.07/x
  3. Step 3: Cross multiply
    217,133.72x = 325,638.17 × 74,942.07
  4. Step 4: Simplify right side
    217,133.72x = 24,403,998,530.81
  5. Step 5: Solve for x
    x = 24,403,998,530.81/217,133.72
  6. Step 6: Final answer
    x = 112,391.56

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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.