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Finding the Fourth Proportional to 51,756, 71,423.28 and 29,400

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Solution

The fourth proportional to 51,756, 71,423.28 and 29,400 is: 40,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,756 : 71,423.28 = 29,400 : x
  2. Step 2: Convert to fraction form
    51,756/71,423.28 = 29,400/x
  3. Step 3: Cross multiply
    51,756x = 71,423.28 × 29,400
  4. Step 4: Simplify right side
    51,756x = 2,099,844,432
  5. Step 5: Solve for x
    x = 2,099,844,432/51,756
  6. Step 6: Final answer
    x = 40,572

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.