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Finding the Fourth Proportional to 79,897, 119,851.26 and 30,649

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Solution

The fourth proportional to 79,897, 119,851.26 and 30,649 is: 45,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,897 : 119,851.26 = 30,649 : x
  2. Step 2: Convert to fraction form
    79,897/119,851.26 = 30,649/x
  3. Step 3: Cross multiply
    79,897x = 119,851.26 × 30,649
  4. Step 4: Simplify right side
    79,897x = 3,673,321,267.74
  5. Step 5: Solve for x
    x = 3,673,321,267.74/79,897
  6. Step 6: Final answer
    x = 45,975.71

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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.