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Finding the Fourth Proportional to 148,195, 204,509.10 and 81,127

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Solution

The fourth proportional to 148,195, 204,509.10 and 81,127 is: 111,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,195 : 204,509.10 = 81,127 : x
  2. Step 2: Convert to fraction form
    148,195/204,509.10 = 81,127/x
  3. Step 3: Cross multiply
    148,195x = 204,509.10 × 81,127
  4. Step 4: Simplify right side
    148,195x = 16,591,209,755.70
  5. Step 5: Solve for x
    x = 16,591,209,755.70/148,195
  6. Step 6: Final answer
    x = 111,955.26

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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.