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Finding the Fourth Proportional to 221,030.52, 305,022.15 and 120,428.52

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Solution

The fourth proportional to 221,030.52, 305,022.15 and 120,428.52 is: 166,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,030.52 : 305,022.15 = 120,428.52 : x
  2. Step 2: Convert to fraction form
    221,030.52/305,022.15 = 120,428.52/x
  3. Step 3: Cross multiply
    221,030.52x = 305,022.15 × 120,428.52
  4. Step 4: Simplify right side
    221,030.52x = 36,733,366,091.72
  5. Step 5: Solve for x
    x = 36,733,366,091.72/221,030.52
  6. Step 6: Final answer
    x = 166,191.38

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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.