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Finding the Fourth Proportional to 53,903.60, 80,855.40 and 31,727.60

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Solution

The fourth proportional to 53,903.60, 80,855.40 and 31,727.60 is: 47,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.60 : 80,855.40 = 31,727.60 : x
  2. Step 2: Convert to fraction form
    53,903.60/80,855.40 = 31,727.60/x
  3. Step 3: Cross multiply
    53,903.60x = 80,855.40 × 31,727.60
  4. Step 4: Simplify right side
    53,903.60x = 2,565,347,789.04
  5. Step 5: Solve for x
    x = 2,565,347,789.04/53,903.60
  6. Step 6: Final answer
    x = 47,591.40

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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.