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Finding the Fourth Proportional to 198,171.49, 297,288.21 and 65,021.46

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Solution

The fourth proportional to 198,171.49, 297,288.21 and 65,021.46 is: 97,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,171.49 : 297,288.21 = 65,021.46 : x
  2. Step 2: Convert to fraction form
    198,171.49/297,288.21 = 65,021.46/x
  3. Step 3: Cross multiply
    198,171.49x = 297,288.21 × 65,021.46
  4. Step 4: Simplify right side
    198,171.49x = 19,330,113,454.99
  5. Step 5: Solve for x
    x = 19,330,113,454.99/198,171.49
  6. Step 6: Final answer
    x = 97,542.35

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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.