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Finding the Fourth Proportional to 171,638.60, 257,530.80 and 82,846.40

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Solution

The fourth proportional to 171,638.60, 257,530.80 and 82,846.40 is: 124,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,638.60 : 257,530.80 = 82,846.40 : x
  2. Step 2: Convert to fraction form
    171,638.60/257,530.80 = 82,846.40/x
  3. Step 3: Cross multiply
    171,638.60x = 257,530.80 × 82,846.40
  4. Step 4: Simplify right side
    171,638.60x = 21,335,499,669.12
  5. Step 5: Solve for x
    x = 21,335,499,669.12/171,638.60
  6. Step 6: Final answer
    x = 124,304.79

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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.