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Finding the Fourth Proportional to 198,233.72, 297,283.92 and 71,847.51

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Solution

The fourth proportional to 198,233.72, 297,283.92 and 71,847.51 is: 107,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,233.72 : 297,283.92 = 71,847.51 : x
  2. Step 2: Convert to fraction form
    198,233.72/297,283.92 = 71,847.51/x
  3. Step 3: Cross multiply
    198,233.72x = 297,283.92 × 71,847.51
  4. Step 4: Simplify right side
    198,233.72x = 21,359,109,415.04
  5. Step 5: Solve for x
    x = 21,359,109,415.04/198,233.72
  6. Step 6: Final answer
    x = 107,747.10

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1.5x scale

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.