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Finding the Fourth Proportional to 220,713, 331,121.34 and 72,969

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Solution

The fourth proportional to 220,713, 331,121.34 and 72,969 is: 109,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,713 : 331,121.34 = 72,969 : x
  2. Step 2: Convert to fraction form
    220,713/331,121.34 = 72,969/x
  3. Step 3: Cross multiply
    220,713x = 331,121.34 × 72,969
  4. Step 4: Simplify right side
    220,713x = 24,161,593,058.46
  5. Step 5: Solve for x
    x = 24,161,593,058.46/220,713
  6. Step 6: Final answer
    x = 109,470.64

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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.