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Finding the Fourth Proportional to 57,145.80, 85,662 and 28,982.10

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Solution

The fourth proportional to 57,145.80, 85,662 and 28,982.10 is: 43,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.80 : 85,662 = 28,982.10 : x
  2. Step 2: Convert to fraction form
    57,145.80/85,662 = 28,982.10/x
  3. Step 3: Cross multiply
    57,145.80x = 85,662 × 28,982.10
  4. Step 4: Simplify right side
    57,145.80x = 2,482,664,650.20
  5. Step 5: Solve for x
    x = 2,482,664,650.20/57,145.80
  6. Step 6: Final answer
    x = 43,444.39

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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.