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Finding the Fourth Proportional to 68,286.64, 102,428.74 and 26,155.30

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Solution

The fourth proportional to 68,286.64, 102,428.74 and 26,155.30 is: 39,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,286.64 : 102,428.74 = 26,155.30 : x
  2. Step 2: Convert to fraction form
    68,286.64/102,428.74 = 26,155.30/x
  3. Step 3: Cross multiply
    68,286.64x = 102,428.74 × 26,155.30
  4. Step 4: Simplify right side
    68,286.64x = 2,679,054,101.86
  5. Step 5: Solve for x
    x = 2,679,054,101.86/68,286.64
  6. Step 6: Final answer
    x = 39,232.48

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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.