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Finding the Fourth Proportional to 171,847.74, 257,738.23 and 86,435.82

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Solution

The fourth proportional to 171,847.74, 257,738.23 and 86,435.82 is: 129,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,847.74 : 257,738.23 = 86,435.82 : x
  2. Step 2: Convert to fraction form
    171,847.74/257,738.23 = 86,435.82/x
  3. Step 3: Cross multiply
    171,847.74x = 257,738.23 × 86,435.82
  4. Step 4: Simplify right side
    171,847.74x = 22,277,816,029.76
  5. Step 5: Solve for x
    x = 22,277,816,029.76/171,847.74
  6. Step 6: Final answer
    x = 129,636.95

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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.