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Finding the Fourth Proportional to 222,465.94, 307,001.42 and 120,489.05

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Solution

The fourth proportional to 222,465.94, 307,001.42 and 120,489.05 is: 166,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,465.94 : 307,001.42 = 120,489.05 : x
  2. Step 2: Convert to fraction form
    222,465.94/307,001.42 = 120,489.05/x
  3. Step 3: Cross multiply
    222,465.94x = 307,001.42 × 120,489.05
  4. Step 4: Simplify right side
    222,465.94x = 36,990,309,444.45
  5. Step 5: Solve for x
    x = 36,990,309,444.45/222,465.94
  6. Step 6: Final answer
    x = 166,274.03

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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.