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Finding the Fourth Proportional to 179,764, 248,074.32 and 100,276

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Solution

The fourth proportional to 179,764, 248,074.32 and 100,276 is: 138,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,764 : 248,074.32 = 100,276 : x
  2. Step 2: Convert to fraction form
    179,764/248,074.32 = 100,276/x
  3. Step 3: Cross multiply
    179,764x = 248,074.32 × 100,276
  4. Step 4: Simplify right side
    179,764x = 24,875,900,512.32
  5. Step 5: Solve for x
    x = 24,875,900,512.32/179,764
  6. Step 6: Final answer
    x = 138,380.88

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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.