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Finding the Fourth Proportional to 78,198.07, 117,203.07 and 36,020.15

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Solution

The fourth proportional to 78,198.07, 117,203.07 and 36,020.15 is: 53,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.07 : 117,203.07 = 36,020.15 : x
  2. Step 2: Convert to fraction form
    78,198.07/117,203.07 = 36,020.15/x
  3. Step 3: Cross multiply
    78,198.07x = 117,203.07 × 36,020.15
  4. Step 4: Simplify right side
    78,198.07x = 4,221,672,161.86
  5. Step 5: Solve for x
    x = 4,221,672,161.86/78,198.07
  6. Step 6: Final answer
    x = 53,986.91

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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.