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Finding the Fourth Proportional to 37,141, 51,255.44 and 20,374

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Solution

The fourth proportional to 37,141, 51,255.44 and 20,374 is: 28,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141 : 51,255.44 = 20,374 : x
  2. Step 2: Convert to fraction form
    37,141/51,255.44 = 20,374/x
  3. Step 3: Cross multiply
    37,141x = 51,255.44 × 20,374
  4. Step 4: Simplify right side
    37,141x = 1,044,278,334.56
  5. Step 5: Solve for x
    x = 1,044,278,334.56/37,141
  6. Step 6: Final answer
    x = 28,116.59

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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.