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Finding the Fourth Proportional to 77,190.61, 115,785.92 and 21,786.61

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Solution

The fourth proportional to 77,190.61, 115,785.92 and 21,786.61 is: 32,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,190.61 : 115,785.92 = 21,786.61 : x
  2. Step 2: Convert to fraction form
    77,190.61/115,785.92 = 21,786.61/x
  3. Step 3: Cross multiply
    77,190.61x = 115,785.92 × 21,786.61
  4. Step 4: Simplify right side
    77,190.61x = 2,522,582,682.53
  5. Step 5: Solve for x
    x = 2,522,582,682.53/77,190.61
  6. Step 6: Final answer
    x = 32,679.92

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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.