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Finding the Fourth Proportional to 215,032.52, 322,719.42 and 115,266.44

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Solution

The fourth proportional to 215,032.52, 322,719.42 and 115,266.44 is: 172,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,032.52 : 322,719.42 = 115,266.44 : x
  2. Step 2: Convert to fraction form
    215,032.52/322,719.42 = 115,266.44/x
  3. Step 3: Cross multiply
    215,032.52x = 322,719.42 × 115,266.44
  4. Step 4: Simplify right side
    215,032.52x = 37,198,718,662.26
  5. Step 5: Solve for x
    x = 37,198,718,662.26/215,032.52
  6. Step 6: Final answer
    x = 172,991.13

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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.