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Finding the Fourth Proportional to 155,643.54, 214,695 and 98,181.33

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Solution

The fourth proportional to 155,643.54, 214,695 and 98,181.33 is: 135,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,643.54 : 214,695 = 98,181.33 : x
  2. Step 2: Convert to fraction form
    155,643.54/214,695 = 98,181.33/x
  3. Step 3: Cross multiply
    155,643.54x = 214,695 × 98,181.33
  4. Step 4: Simplify right side
    155,643.54x = 21,079,040,644.35
  5. Step 5: Solve for x
    x = 21,079,040,644.35/155,643.54
  6. Step 6: Final answer
    x = 135,431.52

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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.