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Finding the Fourth Proportional to 222,298.50, 306,771.95 and 121,696.50

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Solution

The fourth proportional to 222,298.50, 306,771.95 and 121,696.50 is: 167,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,298.50 : 306,771.95 = 121,696.50 : x
  2. Step 2: Convert to fraction form
    222,298.50/306,771.95 = 121,696.50/x
  3. Step 3: Cross multiply
    222,298.50x = 306,771.95 × 121,696.50
  4. Step 4: Simplify right side
    222,298.50x = 37,333,072,004.69
  5. Step 5: Solve for x
    x = 37,333,072,004.69/222,298.50
  6. Step 6: Final answer
    x = 167,941.18

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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.