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Finding the Fourth Proportional to 258,093.60, 387,063.60 and 100,231.20

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Solution

The fourth proportional to 258,093.60, 387,063.60 and 100,231.20 is: 150,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,093.60 : 387,063.60 = 100,231.20 : x
  2. Step 2: Convert to fraction form
    258,093.60/387,063.60 = 100,231.20/x
  3. Step 3: Cross multiply
    258,093.60x = 387,063.60 × 100,231.20
  4. Step 4: Simplify right side
    258,093.60x = 38,795,849,104.32
  5. Step 5: Solve for x
    x = 38,795,849,104.32/258,093.60
  6. Step 6: Final answer
    x = 150,316.97

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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.