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Finding the Fourth Proportional to 66,884.63, 100,316 and 20,126.57

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Solution

The fourth proportional to 66,884.63, 100,316 and 20,126.57 is: 30,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,884.63 : 100,316 = 20,126.57 : x
  2. Step 2: Convert to fraction form
    66,884.63/100,316 = 20,126.57/x
  3. Step 3: Cross multiply
    66,884.63x = 100,316 × 20,126.57
  4. Step 4: Simplify right side
    66,884.63x = 2,019,016,494.54
  5. Step 5: Solve for x
    x = 2,019,016,494.54/66,884.63
  6. Step 6: Final answer
    x = 30,186.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.