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Finding the Fourth Proportional to 79,701.76, 109,983.36 and 47,872

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Solution

The fourth proportional to 79,701.76, 109,983.36 and 47,872 is: 66,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,701.76 : 109,983.36 = 47,872 : x
  2. Step 2: Convert to fraction form
    79,701.76/109,983.36 = 47,872/x
  3. Step 3: Cross multiply
    79,701.76x = 109,983.36 × 47,872
  4. Step 4: Simplify right side
    79,701.76x = 5,265,123,409.92
  5. Step 5: Solve for x
    x = 5,265,123,409.92/79,701.76
  6. Step 6: Final answer
    x = 66,060.32

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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.