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Finding the Fourth Proportional to 69,428.80, 104,059.71 and 31,937.20

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Solution

The fourth proportional to 69,428.80, 104,059.71 and 31,937.20 is: 47,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,428.80 : 104,059.71 = 31,937.20 : x
  2. Step 2: Convert to fraction form
    69,428.80/104,059.71 = 31,937.20/x
  3. Step 3: Cross multiply
    69,428.80x = 104,059.71 × 31,937.20
  4. Step 4: Simplify right side
    69,428.80x = 3,323,375,770.21
  5. Step 5: Solve for x
    x = 3,323,375,770.21/69,428.80
  6. Step 6: Final answer
    x = 47,867.39

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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.