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Finding the Fourth Proportional to 185,340.96, 255,770.96 and 100,458

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Solution

The fourth proportional to 185,340.96, 255,770.96 and 100,458 is: 138,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,340.96 : 255,770.96 = 100,458 : x
  2. Step 2: Convert to fraction form
    185,340.96/255,770.96 = 100,458/x
  3. Step 3: Cross multiply
    185,340.96x = 255,770.96 × 100,458
  4. Step 4: Simplify right side
    185,340.96x = 25,694,239,099.68
  5. Step 5: Solve for x
    x = 25,694,239,099.68/185,340.96
  6. Step 6: Final answer
    x = 138,632.28

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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.