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Finding the Fourth Proportional to 68,081, 102,059.24 and 28,640.90

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Solution

The fourth proportional to 68,081, 102,059.24 and 28,640.90 is: 42,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,081 : 102,059.24 = 28,640.90 : x
  2. Step 2: Convert to fraction form
    68,081/102,059.24 = 28,640.90/x
  3. Step 3: Cross multiply
    68,081x = 102,059.24 × 28,640.90
  4. Step 4: Simplify right side
    68,081x = 2,923,068,486.92
  5. Step 5: Solve for x
    x = 2,923,068,486.92/68,081
  6. Step 6: Final answer
    x = 42,935.16

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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.