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Finding the Fourth Proportional to 266,178.42, 399,286.80 and 83,793.60

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Solution

The fourth proportional to 266,178.42, 399,286.80 and 83,793.60 is: 125,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,178.42 : 399,286.80 = 83,793.60 : x
  2. Step 2: Convert to fraction form
    266,178.42/399,286.80 = 83,793.60/x
  3. Step 3: Cross multiply
    266,178.42x = 399,286.80 × 83,793.60
  4. Step 4: Simplify right side
    266,178.42x = 33,457,678,404.48
  5. Step 5: Solve for x
    x = 33,457,678,404.48/266,178.42
  6. Step 6: Final answer
    x = 125,696.43

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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.