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Finding the Fourth Proportional to 49,853.76, 68,729.28 and 39,816

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Solution

The fourth proportional to 49,853.76, 68,729.28 and 39,816 is: 54,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,853.76 : 68,729.28 = 39,816 : x
  2. Step 2: Convert to fraction form
    49,853.76/68,729.28 = 39,816/x
  3. Step 3: Cross multiply
    49,853.76x = 68,729.28 × 39,816
  4. Step 4: Simplify right side
    49,853.76x = 2,736,525,012.48
  5. Step 5: Solve for x
    x = 2,736,525,012.48/49,853.76
  6. Step 6: Final answer
    x = 54,891.05

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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.