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Finding the Fourth Proportional to 75,478.92, 113,234.40 and 25,556.64

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Solution

The fourth proportional to 75,478.92, 113,234.40 and 25,556.64 is: 38,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.92 : 113,234.40 = 25,556.64 : x
  2. Step 2: Convert to fraction form
    75,478.92/113,234.40 = 25,556.64/x
  3. Step 3: Cross multiply
    75,478.92x = 113,234.40 × 25,556.64
  4. Step 4: Simplify right side
    75,478.92x = 2,893,890,796.42
  5. Step 5: Solve for x
    x = 2,893,890,796.42/75,478.92
  6. Step 6: Final answer
    x = 38,340.38

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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.