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Finding the Fourth Proportional to 253,704.23, 380,600.31 and 85,240.98

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Solution

The fourth proportional to 253,704.23, 380,600.31 and 85,240.98 is: 127,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,704.23 : 380,600.31 = 85,240.98 : x
  2. Step 2: Convert to fraction form
    253,704.23/380,600.31 = 85,240.98/x
  3. Step 3: Cross multiply
    253,704.23x = 380,600.31 × 85,240.98
  4. Step 4: Simplify right side
    253,704.23x = 32,442,743,093.05
  5. Step 5: Solve for x
    x = 32,442,743,093.05/253,704.23
  6. Step 6: Final answer
    x = 127,876.24

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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.