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Finding the Fourth Proportional to 253,846.41, 380,788.74 and 85,367.22

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Solution

The fourth proportional to 253,846.41, 380,788.74 and 85,367.22 is: 128,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,846.41 : 380,788.74 = 85,367.22 : x
  2. Step 2: Convert to fraction form
    253,846.41/380,788.74 = 85,367.22/x
  3. Step 3: Cross multiply
    253,846.41x = 380,788.74 × 85,367.22
  4. Step 4: Simplify right side
    253,846.41x = 32,506,876,141.10
  5. Step 5: Solve for x
    x = 32,506,876,141.10/253,846.41
  6. Step 6: Final answer
    x = 128,057.26

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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.