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Finding the Fourth Proportional to 180,292.64, 270,293.15 and 75,190.28

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Solution

The fourth proportional to 180,292.64, 270,293.15 and 75,190.28 is: 112,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,292.64 : 270,293.15 = 75,190.28 : x
  2. Step 2: Convert to fraction form
    180,292.64/270,293.15 = 75,190.28/x
  3. Step 3: Cross multiply
    180,292.64x = 270,293.15 × 75,190.28
  4. Step 4: Simplify right side
    180,292.64x = 20,323,416,467.09
  5. Step 5: Solve for x
    x = 20,323,416,467.09/180,292.64
  6. Step 6: Final answer
    x = 112,724.61

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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.