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Finding the Fourth Proportional to 100,357.75, 138,489.51 and 60,094

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Solution

The fourth proportional to 100,357.75, 138,489.51 and 60,094 is: 82,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,357.75 : 138,489.51 = 60,094 : x
  2. Step 2: Convert to fraction form
    100,357.75/138,489.51 = 60,094/x
  3. Step 3: Cross multiply
    100,357.75x = 138,489.51 × 60,094
  4. Step 4: Simplify right side
    100,357.75x = 8,322,388,613.94
  5. Step 5: Solve for x
    x = 8,322,388,613.94/100,357.75
  6. Step 6: Final answer
    x = 82,927.21

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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.