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Finding the Fourth Proportional to 221,038.81, 305,033.56 and 120,436.81

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Solution

The fourth proportional to 221,038.81, 305,033.56 and 120,436.81 is: 166,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,038.81 : 305,033.56 = 120,436.81 : x
  2. Step 2: Convert to fraction form
    221,038.81/305,033.56 = 120,436.81/x
  3. Step 3: Cross multiply
    221,038.81x = 305,033.56 × 120,436.81
  4. Step 4: Simplify right side
    221,038.81x = 36,737,267,845.67
  5. Step 5: Solve for x
    x = 36,737,267,845.67/221,038.81
  6. Step 6: Final answer
    x = 166,202.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.