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Finding the Fourth Proportional to 171,878.53, 257,824.78 and 81,874.98

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Solution

The fourth proportional to 171,878.53, 257,824.78 and 81,874.98 is: 122,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,878.53 : 257,824.78 = 81,874.98 : x
  2. Step 2: Convert to fraction form
    171,878.53/257,824.78 = 81,874.98/x
  3. Step 3: Cross multiply
    171,878.53x = 257,824.78 × 81,874.98
  4. Step 4: Simplify right side
    171,878.53x = 21,109,398,706.00
  5. Step 5: Solve for x
    x = 21,109,398,706.00/171,878.53
  6. Step 6: Final answer
    x = 122,815.80

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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.