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Finding the Fourth Proportional to 81,792, 122,716.80 and 40,268.16

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Solution

The fourth proportional to 81,792, 122,716.80 and 40,268.16 is: 60,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,792 : 122,716.80 = 40,268.16 : x
  2. Step 2: Convert to fraction form
    81,792/122,716.80 = 40,268.16/x
  3. Step 3: Cross multiply
    81,792x = 122,716.80 × 40,268.16
  4. Step 4: Simplify right side
    81,792x = 4,941,579,737.09
  5. Step 5: Solve for x
    x = 4,941,579,737.09/81,792
  6. Step 6: Final answer
    x = 60,416.42

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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.