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Finding the Fourth Proportional to 185,080.10, 255,410.22 and 100,197.14

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Solution

The fourth proportional to 185,080.10, 255,410.22 and 100,197.14 is: 138,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,080.10 : 255,410.22 = 100,197.14 : x
  2. Step 2: Convert to fraction form
    185,080.10/255,410.22 = 100,197.14/x
  3. Step 3: Cross multiply
    185,080.10x = 255,410.22 × 100,197.14
  4. Step 4: Simplify right side
    185,080.10x = 25,591,373,570.77
  5. Step 5: Solve for x
    x = 25,591,373,570.77/185,080.10
  6. Step 6: Final answer
    x = 138,271.88

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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.