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Finding the Fourth Proportional to 171,098.30, 256,161.45 and 161,788.70

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Solution

The fourth proportional to 171,098.30, 256,161.45 and 161,788.70 is: 242,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,098.30 : 256,161.45 = 161,788.70 : x
  2. Step 2: Convert to fraction form
    171,098.30/256,161.45 = 161,788.70/x
  3. Step 3: Cross multiply
    171,098.30x = 256,161.45 × 161,788.70
  4. Step 4: Simplify right side
    171,098.30x = 41,444,027,985.62
  5. Step 5: Solve for x
    x = 41,444,027,985.62/171,098.30
  6. Step 6: Final answer
    x = 242,223.49

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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.