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Finding the Fourth Proportional to 198,195.10, 297,338.08 and 85,894.18

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Solution

The fourth proportional to 198,195.10, 297,338.08 and 85,894.18 is: 128,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,195.10 : 297,338.08 = 85,894.18 : x
  2. Step 2: Convert to fraction form
    198,195.10/297,338.08 = 85,894.18/x
  3. Step 3: Cross multiply
    198,195.10x = 297,338.08 × 85,894.18
  4. Step 4: Simplify right side
    198,195.10x = 25,539,610,564.37
  5. Step 5: Solve for x
    x = 25,539,610,564.37/198,195.10
  6. Step 6: Final answer
    x = 128,860.96

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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.