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Finding the Fourth Proportional to 221,851.80, 332,583.30 and 133,140.60

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Solution

The fourth proportional to 221,851.80, 332,583.30 and 133,140.60 is: 199,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,851.80 : 332,583.30 = 133,140.60 : x
  2. Step 2: Convert to fraction form
    221,851.80/332,583.30 = 133,140.60/x
  3. Step 3: Cross multiply
    221,851.80x = 332,583.30 × 133,140.60
  4. Step 4: Simplify right side
    221,851.80x = 44,280,340,111.98
  5. Step 5: Solve for x
    x = 44,280,340,111.98/221,851.80
  6. Step 6: Final answer
    x = 199,594.23

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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.