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Finding the Fourth Proportional to 36,970, 51,018.92 and 20,203

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Solution

The fourth proportional to 36,970, 51,018.92 and 20,203 is: 27,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970 : 51,018.92 = 20,203 : x
  2. Step 2: Convert to fraction form
    36,970/51,018.92 = 20,203/x
  3. Step 3: Cross multiply
    36,970x = 51,018.92 × 20,203
  4. Step 4: Simplify right side
    36,970x = 1,030,735,240.76
  5. Step 5: Solve for x
    x = 1,030,735,240.76/36,970
  6. Step 6: Final answer
    x = 27,880.31

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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.