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Finding the Fourth Proportional to 68,648.64, 102,842.28 and 39,086.88

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Solution

The fourth proportional to 68,648.64, 102,842.28 and 39,086.88 is: 58,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,648.64 : 102,842.28 = 39,086.88 : x
  2. Step 2: Convert to fraction form
    68,648.64/102,842.28 = 39,086.88/x
  3. Step 3: Cross multiply
    68,648.64x = 102,842.28 × 39,086.88
  4. Step 4: Simplify right side
    68,648.64x = 4,019,783,857.29
  5. Step 5: Solve for x
    x = 4,019,783,857.29/68,648.64
  6. Step 6: Final answer
    x = 58,555.91

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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.