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Finding the Fourth Proportional to 221,971.32, 333,007.20 and 64,212.48

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Solution

The fourth proportional to 221,971.32, 333,007.20 and 64,212.48 is: 96,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,971.32 : 333,007.20 = 64,212.48 : x
  2. Step 2: Convert to fraction form
    221,971.32/333,007.20 = 64,212.48/x
  3. Step 3: Cross multiply
    221,971.32x = 333,007.20 × 64,212.48
  4. Step 4: Simplify right side
    221,971.32x = 21,383,218,169.86
  5. Step 5: Solve for x
    x = 21,383,218,169.86/221,971.32
  6. Step 6: Final answer
    x = 96,333.25

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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.