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Finding the Fourth Proportional to 57,187.76, 85,765.24 and 19,738.12

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Solution

The fourth proportional to 57,187.76, 85,765.24 and 19,738.12 is: 29,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.76 : 85,765.24 = 19,738.12 : x
  2. Step 2: Convert to fraction form
    57,187.76/85,765.24 = 19,738.12/x
  3. Step 3: Cross multiply
    57,187.76x = 85,765.24 × 19,738.12
  4. Step 4: Simplify right side
    57,187.76x = 1,692,844,598.95
  5. Step 5: Solve for x
    x = 1,692,844,598.95/57,187.76
  6. Step 6: Final answer
    x = 29,601.52

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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.