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Finding the Fourth Proportional to 198,310.41, 297,402.39 and 65,159.82

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Solution

The fourth proportional to 198,310.41, 297,402.39 and 65,159.82 is: 97,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,310.41 : 297,402.39 = 65,159.82 : x
  2. Step 2: Convert to fraction form
    198,310.41/297,402.39 = 65,159.82/x
  3. Step 3: Cross multiply
    198,310.41x = 297,402.39 × 65,159.82
  4. Step 4: Simplify right side
    198,310.41x = 19,378,686,199.97
  5. Step 5: Solve for x
    x = 19,378,686,199.97/198,310.41
  6. Step 6: Final answer
    x = 97,718.96

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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.