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Finding the Fourth Proportional to 148,107, 204,387.66 and 81,039

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Solution

The fourth proportional to 148,107, 204,387.66 and 81,039 is: 111,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,107 : 204,387.66 = 81,039 : x
  2. Step 2: Convert to fraction form
    148,107/204,387.66 = 81,039/x
  3. Step 3: Cross multiply
    148,107x = 204,387.66 × 81,039
  4. Step 4: Simplify right side
    148,107x = 16,563,371,578.74
  5. Step 5: Solve for x
    x = 16,563,371,578.74/148,107
  6. Step 6: Final answer
    x = 111,833.82

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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.