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Finding the Fourth Proportional to 37,042.73, 51,120.17 and 20,275.73

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Solution

The fourth proportional to 37,042.73, 51,120.17 and 20,275.73 is: 27,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042.73 : 51,120.17 = 20,275.73 : x
  2. Step 2: Convert to fraction form
    37,042.73/51,120.17 = 20,275.73/x
  3. Step 3: Cross multiply
    37,042.73x = 51,120.17 × 20,275.73
  4. Step 4: Simplify right side
    37,042.73x = 1,036,498,663.10
  5. Step 5: Solve for x
    x = 1,036,498,663.10/37,042.73
  6. Step 6: Final answer
    x = 27,981.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.