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Finding the Fourth Proportional to 232,145.78, 348,249.65 and 91,871.60

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Solution

The fourth proportional to 232,145.78, 348,249.65 and 91,871.60 is: 137,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,145.78 : 348,249.65 = 91,871.60 : x
  2. Step 2: Convert to fraction form
    232,145.78/348,249.65 = 91,871.60/x
  3. Step 3: Cross multiply
    232,145.78x = 348,249.65 × 91,871.60
  4. Step 4: Simplify right side
    232,145.78x = 31,994,250,344.33
  5. Step 5: Solve for x
    x = 31,994,250,344.33/232,145.78
  6. Step 6: Final answer
    x = 137,819.65

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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.