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Finding the Fourth Proportional to 254,175.98, 380,997.92 and 85,638.08

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Solution

The fourth proportional to 254,175.98, 380,997.92 and 85,638.08 is: 128,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,175.98 : 380,997.92 = 85,638.08 : x
  2. Step 2: Convert to fraction form
    254,175.98/380,997.92 = 85,638.08/x
  3. Step 3: Cross multiply
    254,175.98x = 380,997.92 × 85,638.08
  4. Step 4: Simplify right side
    254,175.98x = 32,627,930,352.79
  5. Step 5: Solve for x
    x = 32,627,930,352.79/254,175.98
  6. Step 6: Final answer
    x = 128,367.48

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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.