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Finding the Fourth Proportional to 66,105.21, 91,224.68 and 35,889.93

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Solution

The fourth proportional to 66,105.21, 91,224.68 and 35,889.93 is: 49,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105.21 : 91,224.68 = 35,889.93 : x
  2. Step 2: Convert to fraction form
    66,105.21/91,224.68 = 35,889.93/x
  3. Step 3: Cross multiply
    66,105.21x = 91,224.68 × 35,889.93
  4. Step 4: Simplify right side
    66,105.21x = 3,274,047,200.02
  5. Step 5: Solve for x
    x = 3,274,047,200.02/66,105.21
  6. Step 6: Final answer
    x = 49,527.82

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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.