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Finding the Fourth Proportional to 221,040.81, 305,036.32 and 120,438.81

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Solution

The fourth proportional to 221,040.81, 305,036.32 and 120,438.81 is: 166,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,040.81 : 305,036.32 = 120,438.81 : x
  2. Step 2: Convert to fraction form
    221,040.81/305,036.32 = 120,438.81/x
  3. Step 3: Cross multiply
    221,040.81x = 305,036.32 × 120,438.81
  4. Step 4: Simplify right side
    221,040.81x = 36,738,211,387.58
  5. Step 5: Solve for x
    x = 36,738,211,387.58/221,040.81
  6. Step 6: Final answer
    x = 166,205.56

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1.5x scale

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.