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Finding the Fourth Proportional to 147,322, 203,304.36 and 80,254

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Solution

The fourth proportional to 147,322, 203,304.36 and 80,254 is: 110,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,322 : 203,304.36 = 80,254 : x
  2. Step 2: Convert to fraction form
    147,322/203,304.36 = 80,254/x
  3. Step 3: Cross multiply
    147,322x = 203,304.36 × 80,254
  4. Step 4: Simplify right side
    147,322x = 16,315,988,107.44
  5. Step 5: Solve for x
    x = 16,315,988,107.44/147,322
  6. Step 6: Final answer
    x = 110,750.52

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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.