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Finding the Fourth Proportional to 217,145.75, 325,638.56 and 74,954.84

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Solution

The fourth proportional to 217,145.75, 325,638.56 and 74,954.84 is: 112,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,145.75 : 325,638.56 = 74,954.84 : x
  2. Step 2: Convert to fraction form
    217,145.75/325,638.56 = 74,954.84/x
  3. Step 3: Cross multiply
    217,145.75x = 325,638.56 × 74,954.84
  4. Step 4: Simplify right side
    217,145.75x = 24,408,184,721.82
  5. Step 5: Solve for x
    x = 24,408,184,721.82/217,145.75
  6. Step 6: Final answer
    x = 112,404.62

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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.