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Finding the Fourth Proportional to 171,900.86, 257,904.07 and 82,058.21

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Solution

The fourth proportional to 171,900.86, 257,904.07 and 82,058.21 is: 123,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,900.86 : 257,904.07 = 82,058.21 : x
  2. Step 2: Convert to fraction form
    171,900.86/257,904.07 = 82,058.21/x
  3. Step 3: Cross multiply
    171,900.86x = 257,904.07 × 82,058.21
  4. Step 4: Simplify right side
    171,900.86x = 21,163,146,775.53
  5. Step 5: Solve for x
    x = 21,163,146,775.53/171,900.86
  6. Step 6: Final answer
    x = 123,112.52

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1.5x scale

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.