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Finding the Fourth Proportional to 266,005.38, 399,004.11 and 123,771

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Solution

The fourth proportional to 266,005.38, 399,004.11 and 123,771 is: 185,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,005.38 : 399,004.11 = 123,771 : x
  2. Step 2: Convert to fraction form
    266,005.38/399,004.11 = 123,771/x
  3. Step 3: Cross multiply
    266,005.38x = 399,004.11 × 123,771
  4. Step 4: Simplify right side
    266,005.38x = 49,385,137,698.81
  5. Step 5: Solve for x
    x = 49,385,137,698.81/266,005.38
  6. Step 6: Final answer
    x = 185,654.66

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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.