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Finding the Fourth Proportional to 89,084, 133,509 and 49,659.68

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Solution

The fourth proportional to 89,084, 133,509 and 49,659.68 is: 74,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,084 : 133,509 = 49,659.68 : x
  2. Step 2: Convert to fraction form
    89,084/133,509 = 49,659.68/x
  3. Step 3: Cross multiply
    89,084x = 133,509 × 49,659.68
  4. Step 4: Simplify right side
    89,084x = 6,630,014,217.12
  5. Step 5: Solve for x
    x = 6,630,014,217.12/89,084
  6. Step 6: Final answer
    x = 74,424.30

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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.