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Finding the Fourth Proportional to 262,655.84, 394,048.56 and 75,665.72

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Solution

The fourth proportional to 262,655.84, 394,048.56 and 75,665.72 is: 113,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,655.84 : 394,048.56 = 75,665.72 : x
  2. Step 2: Convert to fraction form
    262,655.84/394,048.56 = 75,665.72/x
  3. Step 3: Cross multiply
    262,655.84x = 394,048.56 × 75,665.72
  4. Step 4: Simplify right side
    262,655.84x = 29,815,968,007.36
  5. Step 5: Solve for x
    x = 29,815,968,007.36/262,655.84
  6. Step 6: Final answer
    x = 113,517.25

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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.