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Finding the Fourth Proportional to 31,204.50, 43,062.39 and 20,026.50

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Solution

The fourth proportional to 31,204.50, 43,062.39 and 20,026.50 is: 27,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.50 : 43,062.39 = 20,026.50 : x
  2. Step 2: Convert to fraction form
    31,204.50/43,062.39 = 20,026.50/x
  3. Step 3: Cross multiply
    31,204.50x = 43,062.39 × 20,026.50
  4. Step 4: Simplify right side
    31,204.50x = 862,388,953.34
  5. Step 5: Solve for x
    x = 862,388,953.34/31,204.50
  6. Step 6: Final answer
    x = 27,636.69

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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.