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Finding the Fourth Proportional to 198,171.74, 297,288.60 and 65,021.72

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Solution

The fourth proportional to 198,171.74, 297,288.60 and 65,021.72 is: 97,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,171.74 : 297,288.60 = 65,021.72 : x
  2. Step 2: Convert to fraction form
    198,171.74/297,288.60 = 65,021.72/x
  3. Step 3: Cross multiply
    198,171.74x = 297,288.60 × 65,021.72
  4. Step 4: Simplify right side
    198,171.74x = 19,330,216,108.39
  5. Step 5: Solve for x
    x = 19,330,216,108.39/198,171.74
  6. Step 6: Final answer
    x = 97,542.75

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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.