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Finding the Fourth Proportional to 266,034.90, 399,109.38 and 76,493.61

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Solution

The fourth proportional to 266,034.90, 399,109.38 and 76,493.61 is: 114,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,034.90 : 399,109.38 = 76,493.61 : x
  2. Step 2: Convert to fraction form
    266,034.90/399,109.38 = 76,493.61/x
  3. Step 3: Cross multiply
    266,034.90x = 399,109.38 × 76,493.61
  4. Step 4: Simplify right side
    266,034.90x = 30,529,317,261.06
  5. Step 5: Solve for x
    x = 30,529,317,261.06/266,034.90
  6. Step 6: Final answer
    x = 114,756.81

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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.