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Finding the Fourth Proportional to 43,403.52, 65,083.68 and 20,010

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Solution

The fourth proportional to 43,403.52, 65,083.68 and 20,010 is: 30,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,403.52 : 65,083.68 = 20,010 : x
  2. Step 2: Convert to fraction form
    43,403.52/65,083.68 = 20,010/x
  3. Step 3: Cross multiply
    43,403.52x = 65,083.68 × 20,010
  4. Step 4: Simplify right side
    43,403.52x = 1,302,324,436.80
  5. Step 5: Solve for x
    x = 1,302,324,436.80/43,403.52
  6. Step 6: Final answer
    x = 30,005.04

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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.