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Finding the Fourth Proportional to 43,309.49, 64,911.92 and 21,089.57

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Solution

The fourth proportional to 43,309.49, 64,911.92 and 21,089.57 is: 31,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309.49 : 64,911.92 = 21,089.57 : x
  2. Step 2: Convert to fraction form
    43,309.49/64,911.92 = 21,089.57/x
  3. Step 3: Cross multiply
    43,309.49x = 64,911.92 × 21,089.57
  4. Step 4: Simplify right side
    43,309.49x = 1,368,964,375.23
  5. Step 5: Solve for x
    x = 1,368,964,375.23/43,309.49
  6. Step 6: Final answer
    x = 31,608.88

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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.