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Finding the Fourth Proportional to 222,431.76, 306,956.04 and 120,457.32

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Solution

The fourth proportional to 222,431.76, 306,956.04 and 120,457.32 is: 166,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,431.76 : 306,956.04 = 120,457.32 : x
  2. Step 2: Convert to fraction form
    222,431.76/306,956.04 = 120,457.32/x
  3. Step 3: Cross multiply
    222,431.76x = 306,956.04 × 120,457.32
  4. Step 4: Simplify right side
    222,431.76x = 36,975,101,936.21
  5. Step 5: Solve for x
    x = 36,975,101,936.21/222,431.76
  6. Step 6: Final answer
    x = 166,231.22

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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.