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Finding the Fourth Proportional to 266,123.40, 399,233.70 and 108,367.80

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Solution

The fourth proportional to 266,123.40, 399,233.70 and 108,367.80 is: 162,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,123.40 : 399,233.70 = 108,367.80 : x
  2. Step 2: Convert to fraction form
    266,123.40/399,233.70 = 108,367.80/x
  3. Step 3: Cross multiply
    266,123.40x = 399,233.70 × 108,367.80
  4. Step 4: Simplify right side
    266,123.40x = 43,264,077,754.86
  5. Step 5: Solve for x
    x = 43,264,077,754.86/266,123.40
  6. Step 6: Final answer
    x = 162,571.49

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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.