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Finding the Fourth Proportional to 267,178.70, 400,794.38 and 77,640.73

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Solution

The fourth proportional to 267,178.70, 400,794.38 and 77,640.73 is: 116,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,178.70 : 400,794.38 = 77,640.73 : x
  2. Step 2: Convert to fraction form
    267,178.70/400,794.38 = 77,640.73/x
  3. Step 3: Cross multiply
    267,178.70x = 400,794.38 × 77,640.73
  4. Step 4: Simplify right side
    267,178.70x = 31,117,967,144.06
  5. Step 5: Solve for x
    x = 31,117,967,144.06/267,178.70
  6. Step 6: Final answer
    x = 116,468.74

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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.