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Finding the Fourth Proportional to 171,883.91, 257,832.84 and 81,880.34

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Solution

The fourth proportional to 171,883.91, 257,832.84 and 81,880.34 is: 122,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,883.91 : 257,832.84 = 81,880.34 : x
  2. Step 2: Convert to fraction form
    171,883.91/257,832.84 = 81,880.34/x
  3. Step 3: Cross multiply
    171,883.91x = 257,832.84 × 81,880.34
  4. Step 4: Simplify right side
    171,883.91x = 21,111,440,602.37
  5. Step 5: Solve for x
    x = 21,111,440,602.37/171,883.91
  6. Step 6: Final answer
    x = 122,823.83

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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.