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Finding the Fourth Proportional to 54,120, 81,204.32 and 34,393.44

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Solution

The fourth proportional to 54,120, 81,204.32 and 34,393.44 is: 51,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,120 : 81,204.32 = 34,393.44 : x
  2. Step 2: Convert to fraction form
    54,120/81,204.32 = 34,393.44/x
  3. Step 3: Cross multiply
    54,120x = 81,204.32 × 34,393.44
  4. Step 4: Simplify right side
    54,120x = 2,792,895,907.66
  5. Step 5: Solve for x
    x = 2,792,895,907.66/54,120
  6. Step 6: Final answer
    x = 51,605.62

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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.