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Finding the Fourth Proportional to 81,356.80, 122,144.55 and 51,905.20

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Solution

The fourth proportional to 81,356.80, 122,144.55 and 51,905.20 is: 77,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,356.80 : 122,144.55 = 51,905.20 : x
  2. Step 2: Convert to fraction form
    81,356.80/122,144.55 = 51,905.20/x
  3. Step 3: Cross multiply
    81,356.80x = 122,144.55 × 51,905.20
  4. Step 4: Simplify right side
    81,356.80x = 6,339,937,296.66
  5. Step 5: Solve for x
    x = 6,339,937,296.66/81,356.80
  6. Step 6: Final answer
    x = 77,927.56

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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.