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Finding the Fourth Proportional to 171,398.40, 257,055.66 and 71,559.42

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Solution

The fourth proportional to 171,398.40, 257,055.66 and 71,559.42 is: 107,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,398.40 : 257,055.66 = 71,559.42 : x
  2. Step 2: Convert to fraction form
    171,398.40/257,055.66 = 71,559.42/x
  3. Step 3: Cross multiply
    171,398.40x = 257,055.66 × 71,559.42
  4. Step 4: Simplify right side
    171,398.40x = 18,394,753,937.32
  5. Step 5: Solve for x
    x = 18,394,753,937.32/171,398.40
  6. Step 6: Final answer
    x = 107,321.62

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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.