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Finding the Fourth Proportional to 220,714, 331,122.84 and 72,970

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Solution

The fourth proportional to 220,714, 331,122.84 and 72,970 is: 109,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,714 : 331,122.84 = 72,970 : x
  2. Step 2: Convert to fraction form
    220,714/331,122.84 = 72,970/x
  3. Step 3: Cross multiply
    220,714x = 331,122.84 × 72,970
  4. Step 4: Simplify right side
    220,714x = 24,162,033,634.80
  5. Step 5: Solve for x
    x = 24,162,033,634.80/220,714
  6. Step 6: Final answer
    x = 109,472.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.