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Finding the Fourth Proportional to 198,062.28, 297,032.70 and 71,687.40

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Solution

The fourth proportional to 198,062.28, 297,032.70 and 71,687.40 is: 107,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,062.28 : 297,032.70 = 71,687.40 : x
  2. Step 2: Convert to fraction form
    198,062.28/297,032.70 = 71,687.40/x
  3. Step 3: Cross multiply
    198,062.28x = 297,032.70 × 71,687.40
  4. Step 4: Simplify right side
    198,062.28x = 21,293,501,977.98
  5. Step 5: Solve for x
    x = 21,293,501,977.98/198,062.28
  6. Step 6: Final answer
    x = 107,509.12

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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.