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Finding the Fourth Proportional to 171,909.40, 257,645.40 and 82,971.40

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Solution

The fourth proportional to 171,909.40, 257,645.40 and 82,971.40 is: 124,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.40 : 257,645.40 = 82,971.40 : x
  2. Step 2: Convert to fraction form
    171,909.40/257,645.40 = 82,971.40/x
  3. Step 3: Cross multiply
    171,909.40x = 257,645.40 × 82,971.40
  4. Step 4: Simplify right side
    171,909.40x = 21,377,199,541.56
  5. Step 5: Solve for x
    x = 21,377,199,541.56/171,909.40
  6. Step 6: Final answer
    x = 124,351.55

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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.