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Finding the Fourth Proportional to 57,135.24, 85,735.24 and 30,839.40

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Solution

The fourth proportional to 57,135.24, 85,735.24 and 30,839.40 is: 46,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.24 : 85,735.24 = 30,839.40 : x
  2. Step 2: Convert to fraction form
    57,135.24/85,735.24 = 30,839.40/x
  3. Step 3: Cross multiply
    57,135.24x = 85,735.24 × 30,839.40
  4. Step 4: Simplify right side
    57,135.24x = 2,644,023,360.46
  5. Step 5: Solve for x
    x = 2,644,023,360.46/57,135.24
  6. Step 6: Final answer
    x = 46,276.58

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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.