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Finding the Fourth Proportional to 253,396.26, 379,982.31 and 75,870.18

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Solution

The fourth proportional to 253,396.26, 379,982.31 and 75,870.18 is: 113,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,396.26 : 379,982.31 = 75,870.18 : x
  2. Step 2: Convert to fraction form
    253,396.26/379,982.31 = 75,870.18/x
  3. Step 3: Cross multiply
    253,396.26x = 379,982.31 × 75,870.18
  4. Step 4: Simplify right side
    253,396.26x = 28,829,326,256.52
  5. Step 5: Solve for x
    x = 28,829,326,256.52/253,396.26
  6. Step 6: Final answer
    x = 113,771.71

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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.