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Finding the Fourth Proportional to 54,086.60, 81,046.28 and 42,212.22

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Solution

The fourth proportional to 54,086.60, 81,046.28 and 42,212.22 is: 63,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086.60 : 81,046.28 = 42,212.22 : x
  2. Step 2: Convert to fraction form
    54,086.60/81,046.28 = 42,212.22/x
  3. Step 3: Cross multiply
    54,086.60x = 81,046.28 × 42,212.22
  4. Step 4: Simplify right side
    54,086.60x = 3,421,143,401.54
  5. Step 5: Solve for x
    x = 3,421,143,401.54/54,086.60
  6. Step 6: Final answer
    x = 63,253.07

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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.