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Finding the Fourth Proportional to 213,502.30, 320,242.48 and 63,743.83

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Solution

The fourth proportional to 213,502.30, 320,242.48 and 63,743.83 is: 95,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,502.30 : 320,242.48 = 63,743.83 : x
  2. Step 2: Convert to fraction form
    213,502.30/320,242.48 = 63,743.83/x
  3. Step 3: Cross multiply
    213,502.30x = 320,242.48 × 63,743.83
  4. Step 4: Simplify right side
    213,502.30x = 20,413,481,243.93
  5. Step 5: Solve for x
    x = 20,413,481,243.93/213,502.30
  6. Step 6: Final answer
    x = 95,612.47

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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.