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Finding the Fourth Proportional to 269,836.62, 372,375.06 and 148,978.14

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Solution

The fourth proportional to 269,836.62, 372,375.06 and 148,978.14 is: 205,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,836.62 : 372,375.06 = 148,978.14 : x
  2. Step 2: Convert to fraction form
    269,836.62/372,375.06 = 148,978.14/x
  3. Step 3: Cross multiply
    269,836.62x = 372,375.06 × 148,978.14
  4. Step 4: Simplify right side
    269,836.62x = 55,475,743,821.19
  5. Step 5: Solve for x
    x = 55,475,743,821.19/269,836.62
  6. Step 6: Final answer
    x = 205,590.12

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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.