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Finding the Fourth Proportional to 65,805, 90,813.06 and 35,997

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Solution

The fourth proportional to 65,805, 90,813.06 and 35,997 is: 49,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805 : 90,813.06 = 35,997 : x
  2. Step 2: Convert to fraction form
    65,805/90,813.06 = 35,997/x
  3. Step 3: Cross multiply
    65,805x = 90,813.06 × 35,997
  4. Step 4: Simplify right side
    65,805x = 3,268,997,720.82
  5. Step 5: Solve for x
    x = 3,268,997,720.82/65,805
  6. Step 6: Final answer
    x = 49,677.04

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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.