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Finding the Fourth Proportional to 185,263.56, 255,663.96 and 100,380.64

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Solution

The fourth proportional to 185,263.56, 255,663.96 and 100,380.64 is: 138,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,263.56 : 255,663.96 = 100,380.64 : x
  2. Step 2: Convert to fraction form
    185,263.56/255,663.96 = 100,380.64/x
  3. Step 3: Cross multiply
    185,263.56x = 255,663.96 × 100,380.64
  4. Step 4: Simplify right side
    185,263.56x = 25,663,711,929.73
  5. Step 5: Solve for x
    x = 25,663,711,929.73/185,263.56
  6. Step 6: Final answer
    x = 138,525.42

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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.