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Finding the Fourth Proportional to 254,106.54, 381,195 and 85,675.08

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Solution

The fourth proportional to 254,106.54, 381,195 and 85,675.08 is: 128,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,106.54 : 381,195 = 85,675.08 : x
  2. Step 2: Convert to fraction form
    254,106.54/381,195 = 85,675.08/x
  3. Step 3: Cross multiply
    254,106.54x = 381,195 × 85,675.08
  4. Step 4: Simplify right side
    254,106.54x = 32,658,912,120.60
  5. Step 5: Solve for x
    x = 32,658,912,120.60/254,106.54
  6. Step 6: Final answer
    x = 128,524.48

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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.