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Finding the Fourth Proportional to 151,910, 209,653.62 and 91,511.14

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Solution

The fourth proportional to 151,910, 209,653.62 and 91,511.14 is: 126,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,910 : 209,653.62 = 91,511.14 : x
  2. Step 2: Convert to fraction form
    151,910/209,653.62 = 91,511.14/x
  3. Step 3: Cross multiply
    151,910x = 209,653.62 × 91,511.14
  4. Step 4: Simplify right side
    151,910x = 19,185,641,771.33
  5. Step 5: Solve for x
    x = 19,185,641,771.33/151,910
  6. Step 6: Final answer
    x = 126,296.11

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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.