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Finding the Fourth Proportional to 198,793.56, 297,973.45 and 97,661.21

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Solution

The fourth proportional to 198,793.56, 297,973.45 and 97,661.21 is: 146,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,793.56 : 297,973.45 = 97,661.21 : x
  2. Step 2: Convert to fraction form
    198,793.56/297,973.45 = 97,661.21/x
  3. Step 3: Cross multiply
    198,793.56x = 297,973.45 × 97,661.21
  4. Step 4: Simplify right side
    198,793.56x = 29,100,447,674.87
  5. Step 5: Solve for x
    x = 29,100,447,674.87/198,793.56
  6. Step 6: Final answer
    x = 146,385.26

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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.