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Finding the Fourth Proportional to 66,109.68, 91,231.98 and 35,895.32

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Solution

The fourth proportional to 66,109.68, 91,231.98 and 35,895.32 is: 49,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,109.68 : 91,231.98 = 35,895.32 : x
  2. Step 2: Convert to fraction form
    66,109.68/91,231.98 = 35,895.32/x
  3. Step 3: Cross multiply
    66,109.68x = 91,231.98 × 35,895.32
  4. Step 4: Simplify right side
    66,109.68x = 3,274,801,116.33
  5. Step 5: Solve for x
    x = 3,274,801,116.33/66,109.68
  6. Step 6: Final answer
    x = 49,535.88

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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.