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Finding the Fourth Proportional to 220,978.14, 304,949.91 and 120,376.14

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Solution

The fourth proportional to 220,978.14, 304,949.91 and 120,376.14 is: 166,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,978.14 : 304,949.91 = 120,376.14 : x
  2. Step 2: Convert to fraction form
    220,978.14/304,949.91 = 120,376.14/x
  3. Step 3: Cross multiply
    220,978.14x = 304,949.91 × 120,376.14
  4. Step 4: Simplify right side
    220,978.14x = 36,708,693,059.15
  5. Step 5: Solve for x
    x = 36,708,693,059.15/220,978.14
  6. Step 6: Final answer
    x = 166,119.12

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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.