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Finding the Fourth Proportional to 148,258.80, 204,596.80 and 80,275.80

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Solution

The fourth proportional to 148,258.80, 204,596.80 and 80,275.80 is: 110,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,258.80 : 204,596.80 = 80,275.80 : x
  2. Step 2: Convert to fraction form
    148,258.80/204,596.80 = 80,275.80/x
  3. Step 3: Cross multiply
    148,258.80x = 204,596.80 × 80,275.80
  4. Step 4: Simplify right side
    148,258.80x = 16,424,171,797.44
  5. Step 5: Solve for x
    x = 16,424,171,797.44/148,258.80
  6. Step 6: Final answer
    x = 110,780.42

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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.