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Finding the Fourth Proportional to 68,486.76, 102,738.38 and 26,357.04

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Solution

The fourth proportional to 68,486.76, 102,738.38 and 26,357.04 is: 39,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,486.76 : 102,738.38 = 26,357.04 : x
  2. Step 2: Convert to fraction form
    68,486.76/102,738.38 = 26,357.04/x
  3. Step 3: Cross multiply
    68,486.76x = 102,738.38 × 26,357.04
  4. Step 4: Simplify right side
    68,486.76x = 2,707,879,459.41
  5. Step 5: Solve for x
    x = 2,707,879,459.41/68,486.76
  6. Step 6: Final answer
    x = 39,538.73

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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.