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Finding the Fourth Proportional to 147,285, 203,253.30 and 80,217

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Solution

The fourth proportional to 147,285, 203,253.30 and 80,217 is: 110,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,285 : 203,253.30 = 80,217 : x
  2. Step 2: Convert to fraction form
    147,285/203,253.30 = 80,217/x
  3. Step 3: Cross multiply
    147,285x = 203,253.30 × 80,217
  4. Step 4: Simplify right side
    147,285x = 16,304,369,966.10
  5. Step 5: Solve for x
    x = 16,304,369,966.10/147,285
  6. Step 6: Final answer
    x = 110,699.46

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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.