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Finding the Fourth Proportional to 49,797.16, 74,706.82 and 21,721.76

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Solution

The fourth proportional to 49,797.16, 74,706.82 and 21,721.76 is: 32,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797.16 : 74,706.82 = 21,721.76 : x
  2. Step 2: Convert to fraction form
    49,797.16/74,706.82 = 21,721.76/x
  3. Step 3: Cross multiply
    49,797.16x = 74,706.82 × 21,721.76
  4. Step 4: Simplify right side
    49,797.16x = 1,622,763,614.40
  5. Step 5: Solve for x
    x = 1,622,763,614.40/49,797.16
  6. Step 6: Final answer
    x = 32,587.47

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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.