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Finding the Fourth Proportional to 171,398.90, 257,056.40 and 71,559.92

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Solution

The fourth proportional to 171,398.90, 257,056.40 and 71,559.92 is: 107,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,398.90 : 257,056.40 = 71,559.92 : x
  2. Step 2: Convert to fraction form
    171,398.90/257,056.40 = 71,559.92/x
  3. Step 3: Cross multiply
    171,398.90x = 257,056.40 × 71,559.92
  4. Step 4: Simplify right side
    171,398.90x = 18,394,935,419.49
  5. Step 5: Solve for x
    x = 18,394,935,419.49/171,398.90
  6. Step 6: Final answer
    x = 107,322.37

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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.