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Finding the Fourth Proportional to 171,659.60, 257,662.20 and 82,984.40

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Solution

The fourth proportional to 171,659.60, 257,662.20 and 82,984.40 is: 124,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,659.60 : 257,662.20 = 82,984.40 : x
  2. Step 2: Convert to fraction form
    171,659.60/257,662.20 = 82,984.40/x
  3. Step 3: Cross multiply
    171,659.60x = 257,662.20 × 82,984.40
  4. Step 4: Simplify right side
    171,659.60x = 21,381,943,069.68
  5. Step 5: Solve for x
    x = 21,381,943,069.68/171,659.60
  6. Step 6: Final answer
    x = 124,560.14

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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.