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Finding the Fourth Proportional to 222,017.76, 306,383.76 and 121,422.24

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Solution

The fourth proportional to 222,017.76, 306,383.76 and 121,422.24 is: 167,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,017.76 : 306,383.76 = 121,422.24 : x
  2. Step 2: Convert to fraction form
    222,017.76/306,383.76 = 121,422.24/x
  3. Step 3: Cross multiply
    222,017.76x = 306,383.76 × 121,422.24
  4. Step 4: Simplify right side
    222,017.76x = 37,201,802,438.82
  5. Step 5: Solve for x
    x = 37,201,802,438.82/222,017.76
  6. Step 6: Final answer
    x = 167,562.28

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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.