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Finding the Fourth Proportional to 198,620.17, 297,531.34 and 91,854.47

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Solution

The fourth proportional to 198,620.17, 297,531.34 and 91,854.47 is: 137,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,620.17 : 297,531.34 = 91,854.47 : x
  2. Step 2: Convert to fraction form
    198,620.17/297,531.34 = 91,854.47/x
  3. Step 3: Cross multiply
    198,620.17x = 297,531.34 × 91,854.47
  4. Step 4: Simplify right side
    198,620.17x = 27,329,584,058.28
  5. Step 5: Solve for x
    x = 27,329,584,058.28/198,620.17
  6. Step 6: Final answer
    x = 137,597.23

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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.