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Finding the Fourth Proportional to 147,474, 203,514.12 and 80,406

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Solution

The fourth proportional to 147,474, 203,514.12 and 80,406 is: 110,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,474 : 203,514.12 = 80,406 : x
  2. Step 2: Convert to fraction form
    147,474/203,514.12 = 80,406/x
  3. Step 3: Cross multiply
    147,474x = 203,514.12 × 80,406
  4. Step 4: Simplify right side
    147,474x = 16,363,756,332.72
  5. Step 5: Solve for x
    x = 16,363,756,332.72/147,474
  6. Step 6: Final answer
    x = 110,960.28

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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.