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Finding the Fourth Proportional to 198,356.25, 297,584.72 and 91,817.06

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Solution

The fourth proportional to 198,356.25, 297,584.72 and 91,817.06 is: 137,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,356.25 : 297,584.72 = 91,817.06 : x
  2. Step 2: Convert to fraction form
    198,356.25/297,584.72 = 91,817.06/x
  3. Step 3: Cross multiply
    198,356.25x = 297,584.72 × 91,817.06
  4. Step 4: Simplify right side
    198,356.25x = 27,323,354,091.32
  5. Step 5: Solve for x
    x = 27,323,354,091.32/198,356.25
  6. Step 6: Final answer
    x = 137,748.89

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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.