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Finding the Fourth Proportional to 198,575.56, 297,149.82 and 145,854.28

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Solution

The fourth proportional to 198,575.56, 297,149.82 and 145,854.28 is: 218,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,575.56 : 297,149.82 = 145,854.28 : x
  2. Step 2: Convert to fraction form
    198,575.56/297,149.82 = 145,854.28/x
  3. Step 3: Cross multiply
    198,575.56x = 297,149.82 × 145,854.28
  4. Step 4: Simplify right side
    198,575.56x = 43,340,573,048.23
  5. Step 5: Solve for x
    x = 43,340,573,048.23/198,575.56
  6. Step 6: Final answer
    x = 218,257.34

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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.