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Finding the Fourth Proportional to 66,704.40, 100,085.76 and 35,532

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Solution

The fourth proportional to 66,704.40, 100,085.76 and 35,532 is: 53,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,704.40 : 100,085.76 = 35,532 : x
  2. Step 2: Convert to fraction form
    66,704.40/100,085.76 = 35,532/x
  3. Step 3: Cross multiply
    66,704.40x = 100,085.76 × 35,532
  4. Step 4: Simplify right side
    66,704.40x = 3,556,247,224.32
  5. Step 5: Solve for x
    x = 3,556,247,224.32/66,704.40
  6. Step 6: Final answer
    x = 53,313.53

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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.