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Finding the Fourth Proportional to 64,889, 89,546.84 and 35,081

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Solution

The fourth proportional to 64,889, 89,546.84 and 35,081 is: 48,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,889 : 89,546.84 = 35,081 : x
  2. Step 2: Convert to fraction form
    64,889/89,546.84 = 35,081/x
  3. Step 3: Cross multiply
    64,889x = 89,546.84 × 35,081
  4. Step 4: Simplify right side
    64,889x = 3,141,392,694.04
  5. Step 5: Solve for x
    x = 3,141,392,694.04/64,889
  6. Step 6: Final answer
    x = 48,411.79

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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.