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Finding the Fourth Proportional to 68,086.80, 102,170.16 and 28,640.88

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Solution

The fourth proportional to 68,086.80, 102,170.16 and 28,640.88 is: 42,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,086.80 : 102,170.16 = 28,640.88 : x
  2. Step 2: Convert to fraction form
    68,086.80/102,170.16 = 28,640.88/x
  3. Step 3: Cross multiply
    68,086.80x = 102,170.16 × 28,640.88
  4. Step 4: Simplify right side
    68,086.80x = 2,926,243,292.14
  5. Step 5: Solve for x
    x = 2,926,243,292.14/68,086.80
  6. Step 6: Final answer
    x = 42,978.13

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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.