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Finding the Fourth Proportional to 66,778.72, 100,135.72 and 24,678.61

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Solution

The fourth proportional to 66,778.72, 100,135.72 and 24,678.61 is: 37,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,778.72 : 100,135.72 = 24,678.61 : x
  2. Step 2: Convert to fraction form
    66,778.72/100,135.72 = 24,678.61/x
  3. Step 3: Cross multiply
    66,778.72x = 100,135.72 × 24,678.61
  4. Step 4: Simplify right side
    66,778.72x = 2,471,210,380.95
  5. Step 5: Solve for x
    x = 2,471,210,380.95/66,778.72
  6. Step 6: Final answer
    x = 37,005.96

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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.