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Finding the Fourth Proportional to 66,205.76, 91,364.34 and 35,991.32

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Solution

The fourth proportional to 66,205.76, 91,364.34 and 35,991.32 is: 49,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205.76 : 91,364.34 = 35,991.32 : x
  2. Step 2: Convert to fraction form
    66,205.76/91,364.34 = 35,991.32/x
  3. Step 3: Cross multiply
    66,205.76x = 91,364.34 × 35,991.32
  4. Step 4: Simplify right side
    66,205.76x = 3,288,323,197.53
  5. Step 5: Solve for x
    x = 3,288,323,197.53/66,205.76
  6. Step 6: Final answer
    x = 49,668.23

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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.