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Finding the Fourth Proportional to 193,082.40, 289,623.60 and 68,407.20

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Solution

The fourth proportional to 193,082.40, 289,623.60 and 68,407.20 is: 102,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,082.40 : 289,623.60 = 68,407.20 : x
  2. Step 2: Convert to fraction form
    193,082.40/289,623.60 = 68,407.20/x
  3. Step 3: Cross multiply
    193,082.40x = 289,623.60 × 68,407.20
  4. Step 4: Simplify right side
    193,082.40x = 19,812,339,529.92
  5. Step 5: Solve for x
    x = 19,812,339,529.92/193,082.40
  6. Step 6: Final answer
    x = 102,610.80

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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.