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Finding the Fourth Proportional to 222,331.79, 306,815.79 and 120,354.64

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Solution

The fourth proportional to 222,331.79, 306,815.79 and 120,354.64 is: 166,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,331.79 : 306,815.79 = 120,354.64 : x
  2. Step 2: Convert to fraction form
    222,331.79/306,815.79 = 120,354.64/x
  3. Step 3: Cross multiply
    222,331.79x = 306,815.79 × 120,354.64
  4. Step 4: Simplify right side
    222,331.79x = 36,926,703,951.77
  5. Step 5: Solve for x
    x = 36,926,703,951.77/222,331.79
  6. Step 6: Final answer
    x = 166,088.28

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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.