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Finding the Fourth Proportional to 136,793.95, 205,190.69 and 76,042.87

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Solution

The fourth proportional to 136,793.95, 205,190.69 and 76,042.87 is: 114,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,793.95 : 205,190.69 = 76,042.87 : x
  2. Step 2: Convert to fraction form
    136,793.95/205,190.69 = 76,042.87/x
  3. Step 3: Cross multiply
    136,793.95x = 205,190.69 × 76,042.87
  4. Step 4: Simplify right side
    136,793.95x = 15,603,288,071.69
  5. Step 5: Solve for x
    x = 15,603,288,071.69/136,793.95
  6. Step 6: Final answer
    x = 114,064.17

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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.