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Finding the Fourth Proportional to 81,324.84, 121,792.74 and 51,649.80

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Solution

The fourth proportional to 81,324.84, 121,792.74 and 51,649.80 is: 77,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,324.84 : 121,792.74 = 51,649.80 : x
  2. Step 2: Convert to fraction form
    81,324.84/121,792.74 = 51,649.80/x
  3. Step 3: Cross multiply
    81,324.84x = 121,792.74 × 51,649.80
  4. Step 4: Simplify right side
    81,324.84x = 6,290,570,662.45
  5. Step 5: Solve for x
    x = 6,290,570,662.45/81,324.84
  6. Step 6: Final answer
    x = 77,351.16

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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.