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Finding the Fourth Proportional to 102,082.27, 140,873.66 and 56,759.76

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Solution

The fourth proportional to 102,082.27, 140,873.66 and 56,759.76 is: 78,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.27 : 140,873.66 = 56,759.76 : x
  2. Step 2: Convert to fraction form
    102,082.27/140,873.66 = 56,759.76/x
  3. Step 3: Cross multiply
    102,082.27x = 140,873.66 × 56,759.76
  4. Step 4: Simplify right side
    102,082.27x = 7,995,954,848.12
  5. Step 5: Solve for x
    x = 7,995,954,848.12/102,082.27
  6. Step 6: Final answer
    x = 78,328.54

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