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Finding the Fourth Proportional to 180,109.20, 269,904.60 and 80,187.60

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Solution

The fourth proportional to 180,109.20, 269,904.60 and 80,187.60 is: 120,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,109.20 : 269,904.60 = 80,187.60 : x
  2. Step 2: Convert to fraction form
    180,109.20/269,904.60 = 80,187.60/x
  3. Step 3: Cross multiply
    180,109.20x = 269,904.60 × 80,187.60
  4. Step 4: Simplify right side
    180,109.20x = 21,643,002,102.96
  5. Step 5: Solve for x
    x = 21,643,002,102.96/180,109.20
  6. Step 6: Final answer
    x = 120,166.00

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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.