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Finding the Fourth Proportional to 198,715.68, 298,103.16 and 65,610

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Solution

The fourth proportional to 198,715.68, 298,103.16 and 65,610 is: 98,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,715.68 : 298,103.16 = 65,610 : x
  2. Step 2: Convert to fraction form
    198,715.68/298,103.16 = 65,610/x
  3. Step 3: Cross multiply
    198,715.68x = 298,103.16 × 65,610
  4. Step 4: Simplify right side
    198,715.68x = 19,558,548,327.60
  5. Step 5: Solve for x
    x = 19,558,548,327.60/198,715.68
  6. Step 6: Final answer
    x = 98,424.79

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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.