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Finding the Fourth Proportional to 37,129, 51,238.02 and 20,362

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Solution

The fourth proportional to 37,129, 51,238.02 and 20,362 is: 28,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129 : 51,238.02 = 20,362 : x
  2. Step 2: Convert to fraction form
    37,129/51,238.02 = 20,362/x
  3. Step 3: Cross multiply
    37,129x = 51,238.02 × 20,362
  4. Step 4: Simplify right side
    37,129x = 1,043,308,563.24
  5. Step 5: Solve for x
    x = 1,043,308,563.24/37,129
  6. Step 6: Final answer
    x = 28,099.56

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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.