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Finding the Fourth Proportional to 54,719.20, 82,143.60 and 54,330.40

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Solution

The fourth proportional to 54,719.20, 82,143.60 and 54,330.40 is: 81,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,719.20 : 82,143.60 = 54,330.40 : x
  2. Step 2: Convert to fraction form
    54,719.20/82,143.60 = 54,330.40/x
  3. Step 3: Cross multiply
    54,719.20x = 82,143.60 × 54,330.40
  4. Step 4: Simplify right side
    54,719.20x = 4,462,894,645.44
  5. Step 5: Solve for x
    x = 4,462,894,645.44/54,719.20
  6. Step 6: Final answer
    x = 81,559.94

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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.