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Finding the Fourth Proportional to 171,665.44, 257,512.16 and 86,232.35

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Solution

The fourth proportional to 171,665.44, 257,512.16 and 86,232.35 is: 129,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,665.44 : 257,512.16 = 86,232.35 : x
  2. Step 2: Convert to fraction form
    171,665.44/257,512.16 = 86,232.35/x
  3. Step 3: Cross multiply
    171,665.44x = 257,512.16 × 86,232.35
  4. Step 4: Simplify right side
    171,665.44x = 22,205,879,569.74
  5. Step 5: Solve for x
    x = 22,205,879,569.74/171,665.44
  6. Step 6: Final answer
    x = 129,355.56

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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.