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Finding the Fourth Proportional to 221,969.76, 332,102.70 and 127,245.36

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Solution

The fourth proportional to 221,969.76, 332,102.70 and 127,245.36 is: 190,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,969.76 : 332,102.70 = 127,245.36 : x
  2. Step 2: Convert to fraction form
    221,969.76/332,102.70 = 127,245.36/x
  3. Step 3: Cross multiply
    221,969.76x = 332,102.70 × 127,245.36
  4. Step 4: Simplify right side
    221,969.76x = 42,258,527,618.47
  5. Step 5: Solve for x
    x = 42,258,527,618.47/221,969.76
  6. Step 6: Final answer
    x = 190,379.66

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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.