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Finding the Fourth Proportional to 222,148.77, 306,563.91 and 120,173.82

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Solution

The fourth proportional to 222,148.77, 306,563.91 and 120,173.82 is: 165,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,148.77 : 306,563.91 = 120,173.82 : x
  2. Step 2: Convert to fraction form
    222,148.77/306,563.91 = 120,173.82/x
  3. Step 3: Cross multiply
    222,148.77x = 306,563.91 × 120,173.82
  4. Step 4: Simplify right side
    222,148.77x = 36,840,956,138.84
  5. Step 5: Solve for x
    x = 36,840,956,138.84/222,148.77
  6. Step 6: Final answer
    x = 165,839.12

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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.