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Finding the Fourth Proportional to 254,105.79, 381,193.88 and 85,674.33

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Solution

The fourth proportional to 254,105.79, 381,193.88 and 85,674.33 is: 128,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,105.79 : 381,193.88 = 85,674.33 : x
  2. Step 2: Convert to fraction form
    254,105.79/381,193.88 = 85,674.33/x
  3. Step 3: Cross multiply
    254,105.79x = 381,193.88 × 85,674.33
  4. Step 4: Simplify right side
    254,105.79x = 32,658,530,269.10
  5. Step 5: Solve for x
    x = 32,658,530,269.10/254,105.79
  6. Step 6: Final answer
    x = 128,523.36

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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.