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Finding the Fourth Proportional to 253,015.86, 379,516.59 and 75,524.34

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Solution

The fourth proportional to 253,015.86, 379,516.59 and 75,524.34 is: 113,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,015.86 : 379,516.59 = 75,524.34 : x
  2. Step 2: Convert to fraction form
    253,015.86/379,516.59 = 75,524.34/x
  3. Step 3: Cross multiply
    253,015.86x = 379,516.59 × 75,524.34
  4. Step 4: Simplify right side
    253,015.86x = 28,662,739,978.80
  5. Step 5: Solve for x
    x = 28,662,739,978.80/253,015.86
  6. Step 6: Final answer
    x = 113,284.36

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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.