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Finding the Fourth Proportional to 79,229.76, 109,338.30 and 47,400

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Solution

The fourth proportional to 79,229.76, 109,338.30 and 47,400 is: 65,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,229.76 : 109,338.30 = 47,400 : x
  2. Step 2: Convert to fraction form
    79,229.76/109,338.30 = 47,400/x
  3. Step 3: Cross multiply
    79,229.76x = 109,338.30 × 47,400
  4. Step 4: Simplify right side
    79,229.76x = 5,182,635,420
  5. Step 5: Solve for x
    x = 5,182,635,420/79,229.76
  6. Step 6: Final answer
    x = 65,412.74

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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.