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Finding the Fourth Proportional to 171,877.78, 257,823.66 and 81,874.22

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Solution

The fourth proportional to 171,877.78, 257,823.66 and 81,874.22 is: 122,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,877.78 : 257,823.66 = 81,874.22 : x
  2. Step 2: Convert to fraction form
    171,877.78/257,823.66 = 81,874.22/x
  3. Step 3: Cross multiply
    171,877.78x = 257,823.66 × 81,874.22
  4. Step 4: Simplify right side
    171,877.78x = 21,109,111,397.58
  5. Step 5: Solve for x
    x = 21,109,111,397.58/171,877.78
  6. Step 6: Final answer
    x = 122,814.66

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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.