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Finding the Fourth Proportional to 171,438.20, 257,181.40 and 71,575.68

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Solution

The fourth proportional to 171,438.20, 257,181.40 and 71,575.68 is: 107,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,438.20 : 257,181.40 = 71,575.68 : x
  2. Step 2: Convert to fraction form
    171,438.20/257,181.40 = 71,575.68/x
  3. Step 3: Cross multiply
    171,438.20x = 257,181.40 × 71,575.68
  4. Step 4: Simplify right side
    171,438.20x = 18,407,932,673.59
  5. Step 5: Solve for x
    x = 18,407,932,673.59/171,438.20
  6. Step 6: Final answer
    x = 107,373.58

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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.