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Finding the Fourth Proportional to 135,800, 187,406.88 and 76,184

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Solution

The fourth proportional to 135,800, 187,406.88 and 76,184 is: 105,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,800 : 187,406.88 = 76,184 : x
  2. Step 2: Convert to fraction form
    135,800/187,406.88 = 76,184/x
  3. Step 3: Cross multiply
    135,800x = 187,406.88 × 76,184
  4. Step 4: Simplify right side
    135,800x = 14,277,405,745.92
  5. Step 5: Solve for x
    x = 14,277,405,745.92/135,800
  6. Step 6: Final answer
    x = 105,135.54

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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.