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Finding the Fourth Proportional to 262,805.50, 394,215.54 and 75,817

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Solution

The fourth proportional to 262,805.50, 394,215.54 and 75,817 is: 113,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,805.50 : 394,215.54 = 75,817 : x
  2. Step 2: Convert to fraction form
    262,805.50/394,215.54 = 75,817/x
  3. Step 3: Cross multiply
    262,805.50x = 394,215.54 × 75,817
  4. Step 4: Simplify right side
    262,805.50x = 29,888,239,596.18
  5. Step 5: Solve for x
    x = 29,888,239,596.18/262,805.50
  6. Step 6: Final answer
    x = 113,727.60

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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.