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Finding the Fourth Proportional to 221,467.86, 332,254.71 and 71,708.32

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Solution

The fourth proportional to 221,467.86, 332,254.71 and 71,708.32 is: 107,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,467.86 : 332,254.71 = 71,708.32 : x
  2. Step 2: Convert to fraction form
    221,467.86/332,254.71 = 71,708.32/x
  3. Step 3: Cross multiply
    221,467.86x = 332,254.71 × 71,708.32
  4. Step 4: Simplify right side
    221,467.86x = 23,825,427,066.19
  5. Step 5: Solve for x
    x = 23,825,427,066.19/221,467.86
  6. Step 6: Final answer
    x = 107,579.61

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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.