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Finding the Fourth Proportional to 266,238.27, 399,099 and 106,267.86

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Solution

The fourth proportional to 266,238.27, 399,099 and 106,267.86 is: 159,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,238.27 : 399,099 = 106,267.86 : x
  2. Step 2: Convert to fraction form
    266,238.27/399,099 = 106,267.86/x
  3. Step 3: Cross multiply
    266,238.27x = 399,099 × 106,267.86
  4. Step 4: Simplify right side
    266,238.27x = 42,411,396,658.14
  5. Step 5: Solve for x
    x = 42,411,396,658.14/266,238.27
  6. Step 6: Final answer
    x = 159,298.65

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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.