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Finding the Fourth Proportional to 148,424, 204,825.60 and 80,442.08

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Solution

The fourth proportional to 148,424, 204,825.60 and 80,442.08 is: 111,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,424 : 204,825.60 = 80,442.08 : x
  2. Step 2: Convert to fraction form
    148,424/204,825.60 = 80,442.08/x
  3. Step 3: Cross multiply
    148,424x = 204,825.60 × 80,442.08
  4. Step 4: Simplify right side
    148,424x = 16,476,597,301.25
  5. Step 5: Solve for x
    x = 16,476,597,301.25/148,424
  6. Step 6: Final answer
    x = 111,010.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.