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Finding the Fourth Proportional to 219,321.72, 302,661.36 and 123,832.44

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Solution

The fourth proportional to 219,321.72, 302,661.36 and 123,832.44 is: 170,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,321.72 : 302,661.36 = 123,832.44 : x
  2. Step 2: Convert to fraction form
    219,321.72/302,661.36 = 123,832.44/x
  3. Step 3: Cross multiply
    219,321.72x = 302,661.36 × 123,832.44
  4. Step 4: Simplify right side
    219,321.72x = 37,479,294,702.52
  5. Step 5: Solve for x
    x = 37,479,294,702.52/219,321.72
  6. Step 6: Final answer
    x = 170,887.29

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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.