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Finding the Fourth Proportional to 53,937.60, 80,954.40 and 31,723.20

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Solution

The fourth proportional to 53,937.60, 80,954.40 and 31,723.20 is: 47,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,937.60 : 80,954.40 = 31,723.20 : x
  2. Step 2: Convert to fraction form
    53,937.60/80,954.40 = 31,723.20/x
  3. Step 3: Cross multiply
    53,937.60x = 80,954.40 × 31,723.20
  4. Step 4: Simplify right side
    53,937.60x = 2,568,132,622.08
  5. Step 5: Solve for x
    x = 2,568,132,622.08/53,937.60
  6. Step 6: Final answer
    x = 47,613.03

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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.