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Finding the Fourth Proportional to 54,418.84, 81,540.78 and 45,670.84

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Solution

The fourth proportional to 54,418.84, 81,540.78 and 45,670.84 is: 68,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,418.84 : 81,540.78 = 45,670.84 : x
  2. Step 2: Convert to fraction form
    54,418.84/81,540.78 = 45,670.84/x
  3. Step 3: Cross multiply
    54,418.84x = 81,540.78 × 45,670.84
  4. Step 4: Simplify right side
    54,418.84x = 3,724,035,541.74
  5. Step 5: Solve for x
    x = 3,724,035,541.74/54,418.84
  6. Step 6: Final answer
    x = 68,432.84

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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.