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Finding the Fourth Proportional to 89,697.11, 123,777.42 and 49,410

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Solution

The fourth proportional to 89,697.11, 123,777.42 and 49,410 is: 68,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,697.11 : 123,777.42 = 49,410 : x
  2. Step 2: Convert to fraction form
    89,697.11/123,777.42 = 49,410/x
  3. Step 3: Cross multiply
    89,697.11x = 123,777.42 × 49,410
  4. Step 4: Simplify right side
    89,697.11x = 6,115,842,136.91
  5. Step 5: Solve for x
    x = 6,115,842,136.91/89,697.11
  6. Step 6: Final answer
    x = 68,183.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.