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Finding the Fourth Proportional to 171,678.97, 257,471.61 and 71,822.98

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Solution

The fourth proportional to 171,678.97, 257,471.61 and 71,822.98 is: 107,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,678.97 : 257,471.61 = 71,822.98 : x
  2. Step 2: Convert to fraction form
    171,678.97/257,471.61 = 71,822.98/x
  3. Step 3: Cross multiply
    171,678.97x = 257,471.61 × 71,822.98
  4. Step 4: Simplify right side
    171,678.97x = 18,492,378,295.60
  5. Step 5: Solve for x
    x = 18,492,378,295.60/171,678.97
  6. Step 6: Final answer
    x = 107,714.87

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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.