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Finding the Fourth Proportional to 84,048.96, 126,083.28 and 27,894

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Solution

The fourth proportional to 84,048.96, 126,083.28 and 27,894 is: 41,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,048.96 : 126,083.28 = 27,894 : x
  2. Step 2: Convert to fraction form
    84,048.96/126,083.28 = 27,894/x
  3. Step 3: Cross multiply
    84,048.96x = 126,083.28 × 27,894
  4. Step 4: Simplify right side
    84,048.96x = 3,516,967,012.32
  5. Step 5: Solve for x
    x = 3,516,967,012.32/84,048.96
  6. Step 6: Final answer
    x = 41,844.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.