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Finding the Fourth Proportional to 68,178.60, 102,226.14 and 26,577

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Solution

The fourth proportional to 68,178.60, 102,226.14 and 26,577 is: 39,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,178.60 : 102,226.14 = 26,577 : x
  2. Step 2: Convert to fraction form
    68,178.60/102,226.14 = 26,577/x
  3. Step 3: Cross multiply
    68,178.60x = 102,226.14 × 26,577
  4. Step 4: Simplify right side
    68,178.60x = 2,716,864,122.78
  5. Step 5: Solve for x
    x = 2,716,864,122.78/68,178.60
  6. Step 6: Final answer
    x = 39,849.22

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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.