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Finding the Fourth Proportional to 68,500.84, 102,809.60 and 26,977

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Solution

The fourth proportional to 68,500.84, 102,809.60 and 26,977 is: 40,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,500.84 : 102,809.60 = 26,977 : x
  2. Step 2: Convert to fraction form
    68,500.84/102,809.60 = 26,977/x
  3. Step 3: Cross multiply
    68,500.84x = 102,809.60 × 26,977
  4. Step 4: Simplify right side
    68,500.84x = 2,773,494,579.20
  5. Step 5: Solve for x
    x = 2,773,494,579.20/68,500.84
  6. Step 6: Final answer
    x = 40,488.48

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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.