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Finding the Fourth Proportional to 109,481.60, 163,902.53 and 98,975.90

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Solution

The fourth proportional to 109,481.60, 163,902.53 and 98,975.90 is: 148,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481.60 : 163,902.53 = 98,975.90 : x
  2. Step 2: Convert to fraction form
    109,481.60/163,902.53 = 98,975.90/x
  3. Step 3: Cross multiply
    109,481.60x = 163,902.53 × 98,975.90
  4. Step 4: Simplify right side
    109,481.60x = 16,222,399,846.95
  5. Step 5: Solve for x
    x = 16,222,399,846.95/109,481.60
  6. Step 6: Final answer
    x = 148,174.68

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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.