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Finding the Fourth Proportional to 207,949.14, 311,948.10 and 72,972

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Solution

The fourth proportional to 207,949.14, 311,948.10 and 72,972 is: 109,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,949.14 : 311,948.10 = 72,972 : x
  2. Step 2: Convert to fraction form
    207,949.14/311,948.10 = 72,972/x
  3. Step 3: Cross multiply
    207,949.14x = 311,948.10 × 72,972
  4. Step 4: Simplify right side
    207,949.14x = 22,763,476,753.20
  5. Step 5: Solve for x
    x = 22,763,476,753.20/207,949.14
  6. Step 6: Final answer
    x = 109,466.56

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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.