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Finding the Fourth Proportional to 198,317.81, 297,594.90 and 71,967.92

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Solution

The fourth proportional to 198,317.81, 297,594.90 and 71,967.92 is: 107,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,317.81 : 297,594.90 = 71,967.92 : x
  2. Step 2: Convert to fraction form
    198,317.81/297,594.90 = 71,967.92/x
  3. Step 3: Cross multiply
    198,317.81x = 297,594.90 × 71,967.92
  4. Step 4: Simplify right side
    198,317.81x = 21,417,284,467.63
  5. Step 5: Solve for x
    x = 21,417,284,467.63/198,317.81
  6. Step 6: Final answer
    x = 107,994.76

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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.