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Finding the Fourth Proportional to 222,355.69, 306,848.64 and 120,378.46

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Solution

The fourth proportional to 222,355.69, 306,848.64 and 120,378.46 is: 166,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,355.69 : 306,848.64 = 120,378.46 : x
  2. Step 2: Convert to fraction form
    222,355.69/306,848.64 = 120,378.46/x
  3. Step 3: Cross multiply
    222,355.69x = 306,848.64 × 120,378.46
  4. Step 4: Simplify right side
    222,355.69x = 36,937,966,736.29
  5. Step 5: Solve for x
    x = 36,937,966,736.29/222,355.69
  6. Step 6: Final answer
    x = 166,121.08

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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.