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Finding the Fourth Proportional to 198,174.61, 297,261.12 and 71,785.28

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Solution

The fourth proportional to 198,174.61, 297,261.12 and 71,785.28 is: 107,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,174.61 : 297,261.12 = 71,785.28 : x
  2. Step 2: Convert to fraction form
    198,174.61/297,261.12 = 71,785.28/x
  3. Step 3: Cross multiply
    198,174.61x = 297,261.12 × 71,785.28
  4. Step 4: Simplify right side
    198,174.61x = 21,338,973,744.66
  5. Step 5: Solve for x
    x = 21,338,973,744.66/198,174.61
  6. Step 6: Final answer
    x = 107,677.64

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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.