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Finding the Fourth Proportional to 65,382.36, 90,225 and 37,087.44

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Solution

The fourth proportional to 65,382.36, 90,225 and 37,087.44 is: 51,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,382.36 : 90,225 = 37,087.44 : x
  2. Step 2: Convert to fraction form
    65,382.36/90,225 = 37,087.44/x
  3. Step 3: Cross multiply
    65,382.36x = 90,225 × 37,087.44
  4. Step 4: Simplify right side
    65,382.36x = 3,346,214,274
  5. Step 5: Solve for x
    x = 3,346,214,274/65,382.36
  6. Step 6: Final answer
    x = 51,179.16

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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.