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Finding the Fourth Proportional to 215,301.72, 322,844.04 and 65,513.28

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Solution

The fourth proportional to 215,301.72, 322,844.04 and 65,513.28 is: 98,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,301.72 : 322,844.04 = 65,513.28 : x
  2. Step 2: Convert to fraction form
    215,301.72/322,844.04 = 65,513.28/x
  3. Step 3: Cross multiply
    215,301.72x = 322,844.04 × 65,513.28
  4. Step 4: Simplify right side
    215,301.72x = 21,150,571,988.85
  5. Step 5: Solve for x
    x = 21,150,571,988.85/215,301.72
  6. Step 6: Final answer
    x = 98,236.89

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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.