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Finding the Fourth Proportional to 198,645.13, 297,976.87 and 65,537.02

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Solution

The fourth proportional to 198,645.13, 297,976.87 and 65,537.02 is: 98,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,645.13 : 297,976.87 = 65,537.02 : x
  2. Step 2: Convert to fraction form
    198,645.13/297,976.87 = 65,537.02/x
  3. Step 3: Cross multiply
    198,645.13x = 297,976.87 × 65,537.02
  4. Step 4: Simplify right side
    198,645.13x = 19,528,516,088.73
  5. Step 5: Solve for x
    x = 19,528,516,088.73/198,645.13
  6. Step 6: Final answer
    x = 98,308.56

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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.