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Finding the Fourth Proportional to 171,996.30, 257,994.45 and 83,422.80

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Solution

The fourth proportional to 171,996.30, 257,994.45 and 83,422.80 is: 125,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,996.30 : 257,994.45 = 83,422.80 : x
  2. Step 2: Convert to fraction form
    171,996.30/257,994.45 = 83,422.80/x
  3. Step 3: Cross multiply
    171,996.30x = 257,994.45 × 83,422.80
  4. Step 4: Simplify right side
    171,996.30x = 21,522,619,403.46
  5. Step 5: Solve for x
    x = 21,522,619,403.46/171,996.30
  6. Step 6: Final answer
    x = 125,134.20

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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.