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Finding the Fourth Proportional to 67,851.26, 101,743.91 and 20,457.56

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Solution

The fourth proportional to 67,851.26, 101,743.91 and 20,457.56 is: 30,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,851.26 : 101,743.91 = 20,457.56 : x
  2. Step 2: Convert to fraction form
    67,851.26/101,743.91 = 20,457.56/x
  3. Step 3: Cross multiply
    67,851.26x = 101,743.91 × 20,457.56
  4. Step 4: Simplify right side
    67,851.26x = 2,081,432,401.02
  5. Step 5: Solve for x
    x = 2,081,432,401.02/67,851.26
  6. Step 6: Final answer
    x = 30,676.40

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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.