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Finding the Fourth Proportional to 222,976.53, 307,706 and 120,999.42

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Solution

The fourth proportional to 222,976.53, 307,706 and 120,999.42 is: 166,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,976.53 : 307,706 = 120,999.42 : x
  2. Step 2: Convert to fraction form
    222,976.53/307,706 = 120,999.42/x
  3. Step 3: Cross multiply
    222,976.53x = 307,706 × 120,999.42
  4. Step 4: Simplify right side
    222,976.53x = 37,232,247,530.52
  5. Step 5: Solve for x
    x = 37,232,247,530.52/222,976.53
  6. Step 6: Final answer
    x = 166,978.33

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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.