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Finding the Fourth Proportional to 54,462.40, 81,661.20 and 28,218.40

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Solution

The fourth proportional to 54,462.40, 81,661.20 and 28,218.40 is: 42,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462.40 : 81,661.20 = 28,218.40 : x
  2. Step 2: Convert to fraction form
    54,462.40/81,661.20 = 28,218.40/x
  3. Step 3: Cross multiply
    54,462.40x = 81,661.20 × 28,218.40
  4. Step 4: Simplify right side
    54,462.40x = 2,304,348,406.08
  5. Step 5: Solve for x
    x = 2,304,348,406.08/54,462.40
  6. Step 6: Final answer
    x = 42,310.81

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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.