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Finding the Fourth Proportional to 193,048.80, 289,342.80 and 80,728.80

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Solution

The fourth proportional to 193,048.80, 289,342.80 and 80,728.80 is: 120,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,048.80 : 289,342.80 = 80,728.80 : x
  2. Step 2: Convert to fraction form
    193,048.80/289,342.80 = 80,728.80/x
  3. Step 3: Cross multiply
    193,048.80x = 289,342.80 × 80,728.80
  4. Step 4: Simplify right side
    193,048.80x = 23,358,297,032.64
  5. Step 5: Solve for x
    x = 23,358,297,032.64/193,048.80
  6. Step 6: Final answer
    x = 120,996.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.