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Finding the Fourth Proportional to 68,190.58, 102,301.96 and 21,443.46

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Solution

The fourth proportional to 68,190.58, 102,301.96 and 21,443.46 is: 32,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,190.58 : 102,301.96 = 21,443.46 : x
  2. Step 2: Convert to fraction form
    68,190.58/102,301.96 = 21,443.46/x
  3. Step 3: Cross multiply
    68,190.58x = 102,301.96 × 21,443.46
  4. Step 4: Simplify right side
    68,190.58x = 2,193,707,987.18
  5. Step 5: Solve for x
    x = 2,193,707,987.18/68,190.58
  6. Step 6: Final answer
    x = 32,170.25

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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.