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Finding the Fourth Proportional to 266,148, 399,226.32 and 76,610.88

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Solution

The fourth proportional to 266,148, 399,226.32 and 76,610.88 is: 114,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,148 : 399,226.32 = 76,610.88 : x
  2. Step 2: Convert to fraction form
    266,148/399,226.32 = 76,610.88/x
  3. Step 3: Cross multiply
    266,148x = 399,226.32 × 76,610.88
  4. Step 4: Simplify right side
    266,148x = 30,585,079,694.36
  5. Step 5: Solve for x
    x = 30,585,079,694.36/266,148
  6. Step 6: Final answer
    x = 114,917.56

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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.