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Finding the Fourth Proportional to 54,465.40, 81,698.10 and 49,540.60

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Solution

The fourth proportional to 54,465.40, 81,698.10 and 49,540.60 is: 74,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,465.40 : 81,698.10 = 49,540.60 : x
  2. Step 2: Convert to fraction form
    54,465.40/81,698.10 = 49,540.60/x
  3. Step 3: Cross multiply
    54,465.40x = 81,698.10 × 49,540.60
  4. Step 4: Simplify right side
    54,465.40x = 4,047,372,892.86
  5. Step 5: Solve for x
    x = 4,047,372,892.86/54,465.40
  6. Step 6: Final answer
    x = 74,310.90

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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.