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Finding the Fourth Proportional to 148,378, 204,761.88 and 80,394.96

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Solution

The fourth proportional to 148,378, 204,761.88 and 80,394.96 is: 110,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,378 : 204,761.88 = 80,394.96 : x
  2. Step 2: Convert to fraction form
    148,378/204,761.88 = 80,394.96/x
  3. Step 3: Cross multiply
    148,378x = 204,761.88 × 80,394.96
  4. Step 4: Simplify right side
    148,378x = 16,461,823,152.12
  5. Step 5: Solve for x
    x = 16,461,823,152.12/148,378
  6. Step 6: Final answer
    x = 110,945.17

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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.