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Finding the Fourth Proportional to 221,688.70, 332,533.05 and 133,042.30

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Solution

The fourth proportional to 221,688.70, 332,533.05 and 133,042.30 is: 199,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,688.70 : 332,533.05 = 133,042.30 : x
  2. Step 2: Convert to fraction form
    221,688.70/332,533.05 = 133,042.30/x
  3. Step 3: Cross multiply
    221,688.70x = 332,533.05 × 133,042.30
  4. Step 4: Simplify right side
    221,688.70x = 44,240,961,798.02
  5. Step 5: Solve for x
    x = 44,240,961,798.02/221,688.70
  6. Step 6: Final answer
    x = 199,563.45

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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.