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Finding the Fourth Proportional to 221,729.86, 332,647.75 and 71,970.58

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Solution

The fourth proportional to 221,729.86, 332,647.75 and 71,970.58 is: 107,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,729.86 : 332,647.75 = 71,970.58 : x
  2. Step 2: Convert to fraction form
    221,729.86/332,647.75 = 71,970.58/x
  3. Step 3: Cross multiply
    221,729.86x = 332,647.75 × 71,970.58
  4. Step 4: Simplify right side
    221,729.86x = 23,940,851,503.20
  5. Step 5: Solve for x
    x = 23,940,851,503.20/221,729.86
  6. Step 6: Final answer
    x = 107,973.06

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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.