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Finding the Fourth Proportional to 171,684.80, 257,581.20 and 82,941.20

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Solution

The fourth proportional to 171,684.80, 257,581.20 and 82,941.20 is: 124,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,684.80 : 257,581.20 = 82,941.20 : x
  2. Step 2: Convert to fraction form
    171,684.80/257,581.20 = 82,941.20/x
  3. Step 3: Cross multiply
    171,684.80x = 257,581.20 × 82,941.20
  4. Step 4: Simplify right side
    171,684.80x = 21,364,093,825.44
  5. Step 5: Solve for x
    x = 21,364,093,825.44/171,684.80
  6. Step 6: Final answer
    x = 124,437.89

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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.