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Finding the Fourth Proportional to 267,664, 401,651.52 and 119,920

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Solution

The fourth proportional to 267,664, 401,651.52 and 119,920 is: 179,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,664 : 401,651.52 = 119,920 : x
  2. Step 2: Convert to fraction form
    267,664/401,651.52 = 119,920/x
  3. Step 3: Cross multiply
    267,664x = 401,651.52 × 119,920
  4. Step 4: Simplify right side
    267,664x = 48,166,050,278.40
  5. Step 5: Solve for x
    x = 48,166,050,278.40/267,664
  6. Step 6: Final answer
    x = 179,949.68

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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.