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Finding the Fourth Proportional to 201,575.88, 278,117 and 129,997

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Solution

The fourth proportional to 201,575.88, 278,117 and 129,997 is: 179,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,575.88 : 278,117 = 129,997 : x
  2. Step 2: Convert to fraction form
    201,575.88/278,117 = 129,997/x
  3. Step 3: Cross multiply
    201,575.88x = 278,117 × 129,997
  4. Step 4: Simplify right side
    201,575.88x = 36,154,375,649
  5. Step 5: Solve for x
    x = 36,154,375,649/201,575.88
  6. Step 6: Final answer
    x = 179,358.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.