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Finding the Fourth Proportional to 83,494.44, 115,230.30 and 47,689.80

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Solution

The fourth proportional to 83,494.44, 115,230.30 and 47,689.80 is: 65,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.44 : 115,230.30 = 47,689.80 : x
  2. Step 2: Convert to fraction form
    83,494.44/115,230.30 = 47,689.80/x
  3. Step 3: Cross multiply
    83,494.44x = 115,230.30 × 47,689.80
  4. Step 4: Simplify right side
    83,494.44x = 5,495,309,960.94
  5. Step 5: Solve for x
    x = 5,495,309,960.94/83,494.44
  6. Step 6: Final answer
    x = 65,816.48

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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.