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Finding the Fourth Proportional to 57,077.76, 85,636.92 and 25,485

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Solution

The fourth proportional to 57,077.76, 85,636.92 and 25,485 is: 38,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,077.76 : 85,636.92 = 25,485 : x
  2. Step 2: Convert to fraction form
    57,077.76/85,636.92 = 25,485/x
  3. Step 3: Cross multiply
    57,077.76x = 85,636.92 × 25,485
  4. Step 4: Simplify right side
    57,077.76x = 2,182,456,906.20
  5. Step 5: Solve for x
    x = 2,182,456,906.20/57,077.76
  6. Step 6: Final answer
    x = 38,236.55

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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.