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Finding the Fourth Proportional to 68,845.92, 102,802.55 and 54,646.64

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Solution

The fourth proportional to 68,845.92, 102,802.55 and 54,646.64 is: 81,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,845.92 : 102,802.55 = 54,646.64 : x
  2. Step 2: Convert to fraction form
    68,845.92/102,802.55 = 54,646.64/x
  3. Step 3: Cross multiply
    68,845.92x = 102,802.55 × 54,646.64
  4. Step 4: Simplify right side
    68,845.92x = 5,617,813,940.93
  5. Step 5: Solve for x
    x = 5,617,813,940.93/68,845.92
  6. Step 6: Final answer
    x = 81,599.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.