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Finding the Fourth Proportional to 171,880.91, 257,828.36 and 81,877.36

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Solution

The fourth proportional to 171,880.91, 257,828.36 and 81,877.36 is: 122,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,880.91 : 257,828.36 = 81,877.36 : x
  2. Step 2: Convert to fraction form
    171,880.91/257,828.36 = 81,877.36/x
  3. Step 3: Cross multiply
    171,880.91x = 257,828.36 × 81,877.36
  4. Step 4: Simplify right side
    171,880.91x = 21,110,305,449.93
  5. Step 5: Solve for x
    x = 21,110,305,449.93/171,880.91
  6. Step 6: Final answer
    x = 122,819.37

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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.