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Finding the Fourth Proportional to 222,039, 306,413.82 and 121,437

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Solution

The fourth proportional to 222,039, 306,413.82 and 121,437 is: 167,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,039 : 306,413.82 = 121,437 : x
  2. Step 2: Convert to fraction form
    222,039/306,413.82 = 121,437/x
  3. Step 3: Cross multiply
    222,039x = 306,413.82 × 121,437
  4. Step 4: Simplify right side
    222,039x = 37,209,975,059.34
  5. Step 5: Solve for x
    x = 37,209,975,059.34/222,039
  6. Step 6: Final answer
    x = 167,583.06

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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.