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Finding the Fourth Proportional to 148,285, 204,633.40 and 80,302.05

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Solution

The fourth proportional to 148,285, 204,633.40 and 80,302.05 is: 110,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,285 : 204,633.40 = 80,302.05 : x
  2. Step 2: Convert to fraction form
    148,285/204,633.40 = 80,302.05/x
  3. Step 3: Cross multiply
    148,285x = 204,633.40 × 80,302.05
  4. Step 4: Simplify right side
    148,285x = 16,432,481,518.47
  5. Step 5: Solve for x
    x = 16,432,481,518.47/148,285
  6. Step 6: Final answer
    x = 110,816.88

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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.