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Finding the Fourth Proportional to 253,794, 380,697.12 and 85,316.52

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Solution

The fourth proportional to 253,794, 380,697.12 and 85,316.52 is: 127,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,794 : 380,697.12 = 85,316.52 : x
  2. Step 2: Convert to fraction form
    253,794/380,697.12 = 85,316.52/x
  3. Step 3: Cross multiply
    253,794x = 380,697.12 × 85,316.52
  4. Step 4: Simplify right side
    253,794x = 32,479,753,452.42
  5. Step 5: Solve for x
    x = 32,479,753,452.42/253,794
  6. Step 6: Final answer
    x = 127,976.84

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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.