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Finding the Fourth Proportional to 221,871, 332,806.50 and 74,127

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Solution

The fourth proportional to 221,871, 332,806.50 and 74,127 is: 111,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,871 : 332,806.50 = 74,127 : x
  2. Step 2: Convert to fraction form
    221,871/332,806.50 = 74,127/x
  3. Step 3: Cross multiply
    221,871x = 332,806.50 × 74,127
  4. Step 4: Simplify right side
    221,871x = 24,669,947,425.50
  5. Step 5: Solve for x
    x = 24,669,947,425.50/221,871
  6. Step 6: Final answer
    x = 111,190.50

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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.