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Finding the Fourth Proportional to 66,742.73, 100,059.22 and 31,186.47

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Solution

The fourth proportional to 66,742.73, 100,059.22 and 31,186.47 is: 46,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742.73 : 100,059.22 = 31,186.47 : x
  2. Step 2: Convert to fraction form
    66,742.73/100,059.22 = 31,186.47/x
  3. Step 3: Cross multiply
    66,742.73x = 100,059.22 × 31,186.47
  4. Step 4: Simplify right side
    66,742.73x = 3,120,493,362.46
  5. Step 5: Solve for x
    x = 3,120,493,362.46/66,742.73
  6. Step 6: Final answer
    x = 46,754.05

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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.