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Finding the Fourth Proportional to 222,561, 307,133.78 and 120,589.05

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Solution

The fourth proportional to 222,561, 307,133.78 and 120,589.05 is: 166,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,561 : 307,133.78 = 120,589.05 : x
  2. Step 2: Convert to fraction form
    222,561/307,133.78 = 120,589.05/x
  3. Step 3: Cross multiply
    222,561x = 307,133.78 × 120,589.05
  4. Step 4: Simplify right side
    222,561x = 37,036,970,753.11
  5. Step 5: Solve for x
    x = 37,036,970,753.11/222,561
  6. Step 6: Final answer
    x = 166,412.67

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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.