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Finding the Fourth Proportional to 266,141.88, 399,282.12 and 133,016.76

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Solution

The fourth proportional to 266,141.88, 399,282.12 and 133,016.76 is: 199,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,141.88 : 399,282.12 = 133,016.76 : x
  2. Step 2: Convert to fraction form
    266,141.88/399,282.12 = 133,016.76/x
  3. Step 3: Cross multiply
    266,141.88x = 399,282.12 × 133,016.76
  4. Step 4: Simplify right side
    266,141.88x = 53,111,213,928.33
  5. Step 5: Solve for x
    x = 53,111,213,928.33/266,141.88
  6. Step 6: Final answer
    x = 199,559.78

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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.