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Finding the Fourth Proportional to 221,030.76, 305,022.44 and 120,428.76

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Solution

The fourth proportional to 221,030.76, 305,022.44 and 120,428.76 is: 166,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,030.76 : 305,022.44 = 120,428.76 : x
  2. Step 2: Convert to fraction form
    221,030.76/305,022.44 = 120,428.76/x
  3. Step 3: Cross multiply
    221,030.76x = 305,022.44 × 120,428.76
  4. Step 4: Simplify right side
    221,030.76x = 36,733,474,221.37
  5. Step 5: Solve for x
    x = 36,733,474,221.37/221,030.76
  6. Step 6: Final answer
    x = 166,191.68

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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.