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Finding the Fourth Proportional to 144,989.50, 200,085.10 and 80,468.48

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Solution

The fourth proportional to 144,989.50, 200,085.10 and 80,468.48 is: 111,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,989.50 : 200,085.10 = 80,468.48 : x
  2. Step 2: Convert to fraction form
    144,989.50/200,085.10 = 80,468.48/x
  3. Step 3: Cross multiply
    144,989.50x = 200,085.10 × 80,468.48
  4. Step 4: Simplify right side
    144,989.50x = 16,100,543,867.65
  5. Step 5: Solve for x
    x = 16,100,543,867.65/144,989.50
  6. Step 6: Final answer
    x = 111,046.27

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1.5x scale

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.