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Finding the Fourth Proportional to 101,431.80, 152,169.30 and 31,318.20

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Solution

The fourth proportional to 101,431.80, 152,169.30 and 31,318.20 is: 46,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,431.80 : 152,169.30 = 31,318.20 : x
  2. Step 2: Convert to fraction form
    101,431.80/152,169.30 = 31,318.20/x
  3. Step 3: Cross multiply
    101,431.80x = 152,169.30 × 31,318.20
  4. Step 4: Simplify right side
    101,431.80x = 4,765,668,571.26
  5. Step 5: Solve for x
    x = 4,765,668,571.26/101,431.80
  6. Step 6: Final answer
    x = 46,983.97

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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.