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Finding the Fourth Proportional to 151,057.44, 208,455.12 and 83,074.56

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Solution

The fourth proportional to 151,057.44, 208,455.12 and 83,074.56 is: 114,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,057.44 : 208,455.12 = 83,074.56 : x
  2. Step 2: Convert to fraction form
    151,057.44/208,455.12 = 83,074.56/x
  3. Step 3: Cross multiply
    151,057.44x = 208,455.12 × 83,074.56
  4. Step 4: Simplify right side
    151,057.44x = 17,317,317,373.75
  5. Step 5: Solve for x
    x = 17,317,317,373.75/151,057.44
  6. Step 6: Final answer
    x = 114,640.61

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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.