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Finding the Fourth Proportional to 155,753.22, 214,939.52 and 84,133.24

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Solution

The fourth proportional to 155,753.22, 214,939.52 and 84,133.24 is: 116,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,753.22 : 214,939.52 = 84,133.24 : x
  2. Step 2: Convert to fraction form
    155,753.22/214,939.52 = 84,133.24/x
  3. Step 3: Cross multiply
    155,753.22x = 214,939.52 × 84,133.24
  4. Step 4: Simplify right side
    155,753.22x = 18,083,558,221.64
  5. Step 5: Solve for x
    x = 18,083,558,221.64/155,753.22
  6. Step 6: Final answer
    x = 116,103.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.