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Finding the Fourth Proportional to 51,480.80, 77,191.62 and 27,435.50

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Solution

The fourth proportional to 51,480.80, 77,191.62 and 27,435.50 is: 41,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480.80 : 77,191.62 = 27,435.50 : x
  2. Step 2: Convert to fraction form
    51,480.80/77,191.62 = 27,435.50/x
  3. Step 3: Cross multiply
    51,480.80x = 77,191.62 × 27,435.50
  4. Step 4: Simplify right side
    51,480.80x = 2,117,790,696.90
  5. Step 5: Solve for x
    x = 2,117,790,696.90/51,480.80
  6. Step 6: Final answer
    x = 41,137.49

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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.