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Finding the Fourth Proportional to 83,996.80, 126,043.80 and 31,411.60

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Solution

The fourth proportional to 83,996.80, 126,043.80 and 31,411.60 is: 47,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,996.80 : 126,043.80 = 31,411.60 : x
  2. Step 2: Convert to fraction form
    83,996.80/126,043.80 = 31,411.60/x
  3. Step 3: Cross multiply
    83,996.80x = 126,043.80 × 31,411.60
  4. Step 4: Simplify right side
    83,996.80x = 3,959,237,428.08
  5. Step 5: Solve for x
    x = 3,959,237,428.08/83,996.80
  6. Step 6: Final answer
    x = 47,135.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.