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Finding the Fourth Proportional to 221,033.34, 305,026.02 and 120,431.34

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Solution

The fourth proportional to 221,033.34, 305,026.02 and 120,431.34 is: 166,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,033.34 : 305,026.02 = 120,431.34 : x
  2. Step 2: Convert to fraction form
    221,033.34/305,026.02 = 120,431.34/x
  3. Step 3: Cross multiply
    221,033.34x = 305,026.02 × 120,431.34
  4. Step 4: Simplify right side
    221,033.34x = 36,734,692,323.47
  5. Step 5: Solve for x
    x = 36,734,692,323.47/221,033.34
  6. Step 6: Final answer
    x = 166,195.26

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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.