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Finding the Fourth Proportional to 57,861.45, 86,713.35 and 35,380

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Solution

The fourth proportional to 57,861.45, 86,713.35 and 35,380 is: 53,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,861.45 : 86,713.35 = 35,380 : x
  2. Step 2: Convert to fraction form
    57,861.45/86,713.35 = 35,380/x
  3. Step 3: Cross multiply
    57,861.45x = 86,713.35 × 35,380
  4. Step 4: Simplify right side
    57,861.45x = 3,067,918,323
  5. Step 5: Solve for x
    x = 3,067,918,323/57,861.45
  6. Step 6: Final answer
    x = 53,021.80

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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.