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Finding the Fourth Proportional to 51,759, 71,432.28 and 29,403

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Solution

The fourth proportional to 51,759, 71,432.28 and 29,403 is: 40,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,759 : 71,432.28 = 29,403 : x
  2. Step 2: Convert to fraction form
    51,759/71,432.28 = 29,403/x
  3. Step 3: Cross multiply
    51,759x = 71,432.28 × 29,403
  4. Step 4: Simplify right side
    51,759x = 2,100,323,328.84
  5. Step 5: Solve for x
    x = 2,100,323,328.84/51,759
  6. Step 6: Final answer
    x = 40,578.90

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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.