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Finding the Fourth Proportional to 253,989.26, 380,983.86 and 85,495.44

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Solution

The fourth proportional to 253,989.26, 380,983.86 and 85,495.44 is: 128,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,989.26 : 380,983.86 = 85,495.44 : x
  2. Step 2: Convert to fraction form
    253,989.26/380,983.86 = 85,495.44/x
  3. Step 3: Cross multiply
    253,989.26x = 380,983.86 × 85,495.44
  4. Step 4: Simplify right side
    253,989.26x = 32,572,382,743.60
  5. Step 5: Solve for x
    x = 32,572,382,743.60/253,989.26
  6. Step 6: Final answer
    x = 128,243.15

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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.