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Finding the Fourth Proportional to 198,654.10, 297,974.50 and 86,334.32

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Solution

The fourth proportional to 198,654.10, 297,974.50 and 86,334.32 is: 129,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654.10 : 297,974.50 = 86,334.32 : x
  2. Step 2: Convert to fraction form
    198,654.10/297,974.50 = 86,334.32/x
  3. Step 3: Cross multiply
    198,654.10x = 297,974.50 × 86,334.32
  4. Step 4: Simplify right side
    198,654.10x = 25,725,425,834.84
  5. Step 5: Solve for x
    x = 25,725,425,834.84/198,654.10
  6. Step 6: Final answer
    x = 129,498.59

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1.5x scale

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.