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Finding the Fourth Proportional to 81,580.71, 122,356.46 and 51,910.41

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Solution

The fourth proportional to 81,580.71, 122,356.46 and 51,910.41 is: 77,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,580.71 : 122,356.46 = 51,910.41 : x
  2. Step 2: Convert to fraction form
    81,580.71/122,356.46 = 51,910.41/x
  3. Step 3: Cross multiply
    81,580.71x = 122,356.46 × 51,910.41
  4. Step 4: Simplify right side
    81,580.71x = 6,351,574,004.75
  5. Step 5: Solve for x
    x = 6,351,574,004.75/81,580.71
  6. Step 6: Final answer
    x = 77,856.32

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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.