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Finding the Fourth Proportional to 71,016, 106,505.78 and 21,084.52

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Solution

The fourth proportional to 71,016, 106,505.78 and 21,084.52 is: 31,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,016 : 106,505.78 = 21,084.52 : x
  2. Step 2: Convert to fraction form
    71,016/106,505.78 = 21,084.52/x
  3. Step 3: Cross multiply
    71,016x = 106,505.78 × 21,084.52
  4. Step 4: Simplify right side
    71,016x = 2,245,622,610.57
  5. Step 5: Solve for x
    x = 2,245,622,610.57/71,016
  6. Step 6: Final answer
    x = 31,621.36

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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.