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Finding the Fourth Proportional to 81,803.80, 122,580.45 and 55,050.61

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Solution

The fourth proportional to 81,803.80, 122,580.45 and 55,050.61 is: 82,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,803.80 : 122,580.45 = 55,050.61 : x
  2. Step 2: Convert to fraction form
    81,803.80/122,580.45 = 55,050.61/x
  3. Step 3: Cross multiply
    81,803.80x = 122,580.45 × 55,050.61
  4. Step 4: Simplify right side
    81,803.80x = 6,748,128,546.57
  5. Step 5: Solve for x
    x = 6,748,128,546.57/81,803.80
  6. Step 6: Final answer
    x = 82,491.63

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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.