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Finding the Fourth Proportional to 198,303.05, 297,342.80 and 65,147.56

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Solution

The fourth proportional to 198,303.05, 297,342.80 and 65,147.56 is: 97,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,303.05 : 297,342.80 = 65,147.56 : x
  2. Step 2: Convert to fraction form
    198,303.05/297,342.80 = 65,147.56/x
  3. Step 3: Cross multiply
    198,303.05x = 297,342.80 × 65,147.56
  4. Step 4: Simplify right side
    198,303.05x = 19,371,156,091.12
  5. Step 5: Solve for x
    x = 19,371,156,091.12/198,303.05
  6. Step 6: Final answer
    x = 97,684.61

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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.