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Finding the Fourth Proportional to 37,128, 51,236.64 and 20,361

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Solution

The fourth proportional to 37,128, 51,236.64 and 20,361 is: 28,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128 : 51,236.64 = 20,361 : x
  2. Step 2: Convert to fraction form
    37,128/51,236.64 = 20,361/x
  3. Step 3: Cross multiply
    37,128x = 51,236.64 × 20,361
  4. Step 4: Simplify right side
    37,128x = 1,043,229,227.04
  5. Step 5: Solve for x
    x = 1,043,229,227.04/37,128
  6. Step 6: Final answer
    x = 28,098.18

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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.