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Finding the Fourth Proportional to 180,498.16, 270,568.64 and 85,561.60

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Solution

The fourth proportional to 180,498.16, 270,568.64 and 85,561.60 is: 128,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,498.16 : 270,568.64 = 85,561.60 : x
  2. Step 2: Convert to fraction form
    180,498.16/270,568.64 = 85,561.60/x
  3. Step 3: Cross multiply
    180,498.16x = 270,568.64 × 85,561.60
  4. Step 4: Simplify right side
    180,498.16x = 23,150,285,748.22
  5. Step 5: Solve for x
    x = 23,150,285,748.22/180,498.16
  6. Step 6: Final answer
    x = 128,257.74

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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.