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Finding the Fourth Proportional to 70,865.20, 106,272.60 and 31,351.60

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Solution

The fourth proportional to 70,865.20, 106,272.60 and 31,351.60 is: 47,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,865.20 : 106,272.60 = 31,351.60 : x
  2. Step 2: Convert to fraction form
    70,865.20/106,272.60 = 31,351.60/x
  3. Step 3: Cross multiply
    70,865.20x = 106,272.60 × 31,351.60
  4. Step 4: Simplify right side
    70,865.20x = 3,331,816,046.16
  5. Step 5: Solve for x
    x = 3,331,816,046.16/70,865.20
  6. Step 6: Final answer
    x = 47,016.25

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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.