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Finding the Fourth Proportional to 101,892, 140,623.92 and 57,180

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Solution

The fourth proportional to 101,892, 140,623.92 and 57,180 is: 78,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,892 : 140,623.92 = 57,180 : x
  2. Step 2: Convert to fraction form
    101,892/140,623.92 = 57,180/x
  3. Step 3: Cross multiply
    101,892x = 140,623.92 × 57,180
  4. Step 4: Simplify right side
    101,892x = 8,040,875,745.60
  5. Step 5: Solve for x
    x = 8,040,875,745.60/101,892
  6. Step 6: Final answer
    x = 78,915.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.