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Finding the Fourth Proportional to 198,319.81, 297,597.90 and 71,969.92

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Solution

The fourth proportional to 198,319.81, 297,597.90 and 71,969.92 is: 107,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,319.81 : 297,597.90 = 71,969.92 : x
  2. Step 2: Convert to fraction form
    198,319.81/297,597.90 = 71,969.92/x
  3. Step 3: Cross multiply
    198,319.81x = 297,597.90 × 71,969.92
  4. Step 4: Simplify right side
    198,319.81x = 21,418,095,567.18
  5. Step 5: Solve for x
    x = 21,418,095,567.18/198,319.81
  6. Step 6: Final answer
    x = 107,997.76

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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.