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Finding the Fourth Proportional to 85,661.22, 128,549.97 and 30,257.22

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Solution

The fourth proportional to 85,661.22, 128,549.97 and 30,257.22 is: 45,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,661.22 : 128,549.97 = 30,257.22 : x
  2. Step 2: Convert to fraction form
    85,661.22/128,549.97 = 30,257.22/x
  3. Step 3: Cross multiply
    85,661.22x = 128,549.97 × 30,257.22
  4. Step 4: Simplify right side
    85,661.22x = 3,889,564,723.28
  5. Step 5: Solve for x
    x = 3,889,564,723.28/85,661.22
  6. Step 6: Final answer
    x = 45,406.37

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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.