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Finding the Fourth Proportional to 148,028, 204,278.64 and 80,960

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Solution

The fourth proportional to 148,028, 204,278.64 and 80,960 is: 111,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,028 : 204,278.64 = 80,960 : x
  2. Step 2: Convert to fraction form
    148,028/204,278.64 = 80,960/x
  3. Step 3: Cross multiply
    148,028x = 204,278.64 × 80,960
  4. Step 4: Simplify right side
    148,028x = 16,538,398,694.40
  5. Step 5: Solve for x
    x = 16,538,398,694.40/148,028
  6. Step 6: Final answer
    x = 111,724.80

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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.