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Finding the Fourth Proportional to 147,306, 203,282.52 and 80,238

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Solution

The fourth proportional to 147,306, 203,282.52 and 80,238 is: 110,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,306 : 203,282.52 = 80,238 : x
  2. Step 2: Convert to fraction form
    147,306/203,282.52 = 80,238/x
  3. Step 3: Cross multiply
    147,306x = 203,282.52 × 80,238
  4. Step 4: Simplify right side
    147,306x = 16,310,982,839.76
  5. Step 5: Solve for x
    x = 16,310,982,839.76/147,306
  6. Step 6: Final answer
    x = 110,728.57

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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.