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Finding the Fourth Proportional to 57,380.40, 86,070.15 and 33,990

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Solution

The fourth proportional to 57,380.40, 86,070.15 and 33,990 is: 50,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,380.40 : 86,070.15 = 33,990 : x
  2. Step 2: Convert to fraction form
    57,380.40/86,070.15 = 33,990/x
  3. Step 3: Cross multiply
    57,380.40x = 86,070.15 × 33,990
  4. Step 4: Simplify right side
    57,380.40x = 2,925,524,398.50
  5. Step 5: Solve for x
    x = 2,925,524,398.50/57,380.40
  6. Step 6: Final answer
    x = 50,984.73

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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.