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Finding the Fourth Proportional to 171,513.48, 257,363.16 and 71,682.48

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Solution

The fourth proportional to 171,513.48, 257,363.16 and 71,682.48 is: 107,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,513.48 : 257,363.16 = 71,682.48 : x
  2. Step 2: Convert to fraction form
    171,513.48/257,363.16 = 71,682.48/x
  3. Step 3: Cross multiply
    171,513.48x = 257,363.16 × 71,682.48
  4. Step 4: Simplify right side
    171,513.48x = 18,448,429,569.44
  5. Step 5: Solve for x
    x = 18,448,429,569.44/171,513.48
  6. Step 6: Final answer
    x = 107,562.56

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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.