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Finding the Fourth Proportional to 266,867.60, 400,266.84 and 100,634

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Solution

The fourth proportional to 266,867.60, 400,266.84 and 100,634 is: 150,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,867.60 : 400,266.84 = 100,634 : x
  2. Step 2: Convert to fraction form
    266,867.60/400,266.84 = 100,634/x
  3. Step 3: Cross multiply
    266,867.60x = 400,266.84 × 100,634
  4. Step 4: Simplify right side
    266,867.60x = 40,280,453,176.56
  5. Step 5: Solve for x
    x = 40,280,453,176.56/266,867.60
  6. Step 6: Final answer
    x = 150,937.97

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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.