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Finding the Fourth Proportional to 221,051.58, 305,053.47 and 120,449.58

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Solution

The fourth proportional to 221,051.58, 305,053.47 and 120,449.58 is: 166,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,051.58 : 305,053.47 = 120,449.58 : x
  2. Step 2: Convert to fraction form
    221,051.58/305,053.47 = 120,449.58/x
  3. Step 3: Cross multiply
    221,051.58x = 305,053.47 × 120,449.58
  4. Step 4: Simplify right side
    221,051.58x = 36,743,562,339.04
  5. Step 5: Solve for x
    x = 36,743,562,339.04/221,051.58
  6. Step 6: Final answer
    x = 166,221.67

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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.