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Finding the Fourth Proportional to 57,205.70, 85,857.15 and 25,664.30

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Solution

The fourth proportional to 57,205.70, 85,857.15 and 25,664.30 is: 38,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.70 : 85,857.15 = 25,664.30 : x
  2. Step 2: Convert to fraction form
    57,205.70/85,857.15 = 25,664.30/x
  3. Step 3: Cross multiply
    57,205.70x = 85,857.15 × 25,664.30
  4. Step 4: Simplify right side
    57,205.70x = 2,203,463,654.75
  5. Step 5: Solve for x
    x = 2,203,463,654.75/57,205.70
  6. Step 6: Final answer
    x = 38,518.25

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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.