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Finding the Fourth Proportional to 171,880.53, 257,827.78 and 81,876.97

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Solution

The fourth proportional to 171,880.53, 257,827.78 and 81,876.97 is: 122,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,880.53 : 257,827.78 = 81,876.97 : x
  2. Step 2: Convert to fraction form
    171,880.53/257,827.78 = 81,876.97/x
  3. Step 3: Cross multiply
    171,880.53x = 257,827.78 × 81,876.97
  4. Step 4: Simplify right side
    171,880.53x = 21,110,157,408.23
  5. Step 5: Solve for x
    x = 21,110,157,408.23/171,880.53
  6. Step 6: Final answer
    x = 122,818.78

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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.