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Finding the Fourth Proportional to 215,109.70, 322,661.81 and 96,697.33

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Solution

The fourth proportional to 215,109.70, 322,661.81 and 96,697.33 is: 145,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,109.70 : 322,661.81 = 96,697.33 : x
  2. Step 2: Convert to fraction form
    215,109.70/322,661.81 = 96,697.33/x
  3. Step 3: Cross multiply
    215,109.70x = 322,661.81 × 96,697.33
  4. Step 4: Simplify right side
    215,109.70x = 31,200,534,955.06
  5. Step 5: Solve for x
    x = 31,200,534,955.06/215,109.70
  6. Step 6: Final answer
    x = 145,044.76

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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.