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Finding the Fourth Proportional to 81,704.16, 112,734.25 and 47,697.21

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Solution

The fourth proportional to 81,704.16, 112,734.25 and 47,697.21 is: 65,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,704.16 : 112,734.25 = 47,697.21 : x
  2. Step 2: Convert to fraction form
    81,704.16/112,734.25 = 47,697.21/x
  3. Step 3: Cross multiply
    81,704.16x = 112,734.25 × 47,697.21
  4. Step 4: Simplify right side
    81,704.16x = 5,377,109,196.44
  5. Step 5: Solve for x
    x = 5,377,109,196.44/81,704.16
  6. Step 6: Final answer
    x = 65,811.94

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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.