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Finding the Fourth Proportional to 30,149.44, 41,605.68 and 16,720

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Solution

The fourth proportional to 30,149.44, 41,605.68 and 16,720 is: 23,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.44 : 41,605.68 = 16,720 : x
  2. Step 2: Convert to fraction form
    30,149.44/41,605.68 = 16,720/x
  3. Step 3: Cross multiply
    30,149.44x = 41,605.68 × 16,720
  4. Step 4: Simplify right side
    30,149.44x = 695,646,969.60
  5. Step 5: Solve for x
    x = 695,646,969.60/30,149.44
  6. Step 6: Final answer
    x = 23,073.30

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1.5x scale

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.