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Finding the Fourth Proportional to 65,006, 89,708.28 and 35,198

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Solution

The fourth proportional to 65,006, 89,708.28 and 35,198 is: 48,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006 : 89,708.28 = 35,198 : x
  2. Step 2: Convert to fraction form
    65,006/89,708.28 = 35,198/x
  3. Step 3: Cross multiply
    65,006x = 89,708.28 × 35,198
  4. Step 4: Simplify right side
    65,006x = 3,157,552,039.44
  5. Step 5: Solve for x
    x = 3,157,552,039.44/65,006
  6. Step 6: Final answer
    x = 48,573.24

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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.