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Finding the Fourth Proportional to 77,763.44, 116,616.48 and 27,830

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Solution

The fourth proportional to 77,763.44, 116,616.48 and 27,830 is: 41,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763.44 : 116,616.48 = 27,830 : x
  2. Step 2: Convert to fraction form
    77,763.44/116,616.48 = 27,830/x
  3. Step 3: Cross multiply
    77,763.44x = 116,616.48 × 27,830
  4. Step 4: Simplify right side
    77,763.44x = 3,245,436,638.40
  5. Step 5: Solve for x
    x = 3,245,436,638.40/77,763.44
  6. Step 6: Final answer
    x = 41,734.74

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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.