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Finding the Fourth Proportional to 53,884.80, 80,827.20 and 30,265.20

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Solution

The fourth proportional to 53,884.80, 80,827.20 and 30,265.20 is: 45,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884.80 : 80,827.20 = 30,265.20 : x
  2. Step 2: Convert to fraction form
    53,884.80/80,827.20 = 30,265.20/x
  3. Step 3: Cross multiply
    53,884.80x = 80,827.20 × 30,265.20
  4. Step 4: Simplify right side
    53,884.80x = 2,446,251,373.44
  5. Step 5: Solve for x
    x = 2,446,251,373.44/53,884.80
  6. Step 6: Final answer
    x = 45,397.80

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1.5x scale

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.