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Finding the Fourth Proportional to 54,729.60, 81,993.60 and 31,286.40

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Solution

The fourth proportional to 54,729.60, 81,993.60 and 31,286.40 is: 46,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729.60 : 81,993.60 = 31,286.40 : x
  2. Step 2: Convert to fraction form
    54,729.60/81,993.60 = 31,286.40/x
  3. Step 3: Cross multiply
    54,729.60x = 81,993.60 × 31,286.40
  4. Step 4: Simplify right side
    54,729.60x = 2,565,284,567.04
  5. Step 5: Solve for x
    x = 2,565,284,567.04/54,729.60
  6. Step 6: Final answer
    x = 46,871.98

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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.