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Finding the Fourth Proportional to 147,842, 204,021.96 and 80,774.48

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Solution

The fourth proportional to 147,842, 204,021.96 and 80,774.48 is: 111,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,842 : 204,021.96 = 80,774.48 : x
  2. Step 2: Convert to fraction form
    147,842/204,021.96 = 80,774.48/x
  3. Step 3: Cross multiply
    147,842x = 204,021.96 × 80,774.48
  4. Step 4: Simplify right side
    147,842x = 16,479,767,727.58
  5. Step 5: Solve for x
    x = 16,479,767,727.58/147,842
  6. Step 6: Final answer
    x = 111,468.78

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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.