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Finding the Fourth Proportional to 198,356.75, 297,585.47 and 91,817.56

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Solution

The fourth proportional to 198,356.75, 297,585.47 and 91,817.56 is: 137,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,356.75 : 297,585.47 = 91,817.56 : x
  2. Step 2: Convert to fraction form
    198,356.75/297,585.47 = 91,817.56/x
  3. Step 3: Cross multiply
    198,356.75x = 297,585.47 × 91,817.56
  4. Step 4: Simplify right side
    198,356.75x = 27,323,571,746.85
  5. Step 5: Solve for x
    x = 27,323,571,746.85/198,356.75
  6. Step 6: Final answer
    x = 137,749.64

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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.