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Finding the Fourth Proportional to 66,705.40, 100,087.26 and 35,533

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Solution

The fourth proportional to 66,705.40, 100,087.26 and 35,533 is: 53,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,705.40 : 100,087.26 = 35,533 : x
  2. Step 2: Convert to fraction form
    66,705.40/100,087.26 = 35,533/x
  3. Step 3: Cross multiply
    66,705.40x = 100,087.26 × 35,533
  4. Step 4: Simplify right side
    66,705.40x = 3,556,400,609.58
  5. Step 5: Solve for x
    x = 3,556,400,609.58/66,705.40
  6. Step 6: Final answer
    x = 53,315.03

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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.