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Finding the Fourth Proportional to 201,965.85, 302,856.03 and 68,791.92

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Solution

The fourth proportional to 201,965.85, 302,856.03 and 68,791.92 is: 103,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,965.85 : 302,856.03 = 68,791.92 : x
  2. Step 2: Convert to fraction form
    201,965.85/302,856.03 = 68,791.92/x
  3. Step 3: Cross multiply
    201,965.85x = 302,856.03 × 68,791.92
  4. Step 4: Simplify right side
    201,965.85x = 20,834,047,787.28
  5. Step 5: Solve for x
    x = 20,834,047,787.28/201,965.85
  6. Step 6: Final answer
    x = 103,156.29

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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.