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Finding the Fourth Proportional to 57,805.48, 86,733.24 and 20,392.30

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Solution

The fourth proportional to 57,805.48, 86,733.24 and 20,392.30 is: 30,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.48 : 86,733.24 = 20,392.30 : x
  2. Step 2: Convert to fraction form
    57,805.48/86,733.24 = 20,392.30/x
  3. Step 3: Cross multiply
    57,805.48x = 86,733.24 × 20,392.30
  4. Step 4: Simplify right side
    57,805.48x = 1,768,690,250.05
  5. Step 5: Solve for x
    x = 1,768,690,250.05/57,805.48
  6. Step 6: Final answer
    x = 30,597.28

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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.