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Finding the Fourth Proportional to 54,411.40, 81,530.70 and 40,414.60

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Solution

The fourth proportional to 54,411.40, 81,530.70 and 40,414.60 is: 60,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411.40 : 81,530.70 = 40,414.60 : x
  2. Step 2: Convert to fraction form
    54,411.40/81,530.70 = 40,414.60/x
  3. Step 3: Cross multiply
    54,411.40x = 81,530.70 × 40,414.60
  4. Step 4: Simplify right side
    54,411.40x = 3,295,030,628.22
  5. Step 5: Solve for x
    x = 3,295,030,628.22/54,411.40
  6. Step 6: Final answer
    x = 60,557.73

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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.