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Finding the Fourth Proportional to 65,225.28, 89,990.49 and 36,541.09

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Solution

The fourth proportional to 65,225.28, 89,990.49 and 36,541.09 is: 50,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.28 : 89,990.49 = 36,541.09 : x
  2. Step 2: Convert to fraction form
    65,225.28/89,990.49 = 36,541.09/x
  3. Step 3: Cross multiply
    65,225.28x = 89,990.49 × 36,541.09
  4. Step 4: Simplify right side
    65,225.28x = 3,288,350,843.75
  5. Step 5: Solve for x
    x = 3,288,350,843.75/65,225.28
  6. Step 6: Final answer
    x = 50,415.28

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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.