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Finding the Fourth Proportional to 198,647.59, 297,964.74 and 86,327.81

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Solution

The fourth proportional to 198,647.59, 297,964.74 and 86,327.81 is: 129,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,647.59 : 297,964.74 = 86,327.81 : x
  2. Step 2: Convert to fraction form
    198,647.59/297,964.74 = 86,327.81/x
  3. Step 3: Cross multiply
    198,647.59x = 297,964.74 × 86,327.81
  4. Step 4: Simplify right side
    198,647.59x = 25,722,642,221.58
  5. Step 5: Solve for x
    x = 25,722,642,221.58/198,647.59
  6. Step 6: Final answer
    x = 129,488.82

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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.