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Finding the Fourth Proportional to 144,284.92, 199,109.34 and 80,623.24

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Solution

The fourth proportional to 144,284.92, 199,109.34 and 80,623.24 is: 111,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,284.92 : 199,109.34 = 80,623.24 : x
  2. Step 2: Convert to fraction form
    144,284.92/199,109.34 = 80,623.24/x
  3. Step 3: Cross multiply
    144,284.92x = 199,109.34 × 80,623.24
  4. Step 4: Simplify right side
    144,284.92x = 16,052,840,105.06
  5. Step 5: Solve for x
    x = 16,052,840,105.06/144,284.92
  6. Step 6: Final answer
    x = 111,257.92

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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.