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Finding the Fourth Proportional to 89,792.64, 123,914.70 and 49,507.86

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Solution

The fourth proportional to 89,792.64, 123,914.70 and 49,507.86 is: 68,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,792.64 : 123,914.70 = 49,507.86 : x
  2. Step 2: Convert to fraction form
    89,792.64/123,914.70 = 49,507.86/x
  3. Step 3: Cross multiply
    89,792.64x = 123,914.70 × 49,507.86
  4. Step 4: Simplify right side
    89,792.64x = 6,134,751,619.54
  5. Step 5: Solve for x
    x = 6,134,751,619.54/89,792.64
  6. Step 6: Final answer
    x = 68,321.32

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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.