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Finding the Fourth Proportional to 215,107.78, 322,661.52 and 65,347.48

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Solution

The fourth proportional to 215,107.78, 322,661.52 and 65,347.48 is: 98,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,107.78 : 322,661.52 = 65,347.48 : x
  2. Step 2: Convert to fraction form
    215,107.78/322,661.52 = 65,347.48/x
  3. Step 3: Cross multiply
    215,107.78x = 322,661.52 × 65,347.48
  4. Step 4: Simplify right side
    215,107.78x = 21,085,117,224.97
  5. Step 5: Solve for x
    x = 21,085,117,224.97/215,107.78
  6. Step 6: Final answer
    x = 98,021.17

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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.