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Finding the Fourth Proportional to 253,014.36, 379,514.34 and 75,522.84

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Solution

The fourth proportional to 253,014.36, 379,514.34 and 75,522.84 is: 113,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,014.36 : 379,514.34 = 75,522.84 : x
  2. Step 2: Convert to fraction form
    253,014.36/379,514.34 = 75,522.84/x
  3. Step 3: Cross multiply
    253,014.36x = 379,514.34 × 75,522.84
  4. Step 4: Simplify right side
    253,014.36x = 28,662,000,777.53
  5. Step 5: Solve for x
    x = 28,662,000,777.53/253,014.36
  6. Step 6: Final answer
    x = 113,282.11

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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.