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Finding the Fourth Proportional to 81,463.52, 122,232 and 51,873.68

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Solution

The fourth proportional to 81,463.52, 122,232 and 51,873.68 is: 77,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,463.52 : 122,232 = 51,873.68 : x
  2. Step 2: Convert to fraction form
    81,463.52/122,232 = 51,873.68/x
  3. Step 3: Cross multiply
    81,463.52x = 122,232 × 51,873.68
  4. Step 4: Simplify right side
    81,463.52x = 6,340,623,653.76
  5. Step 5: Solve for x
    x = 6,340,623,653.76/81,463.52
  6. Step 6: Final answer
    x = 77,833.90

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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.