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Finding the Fourth Proportional to 222,091, 306,490.50 and 121,489

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Solution

The fourth proportional to 222,091, 306,490.50 and 121,489 is: 167,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,091 : 306,490.50 = 121,489 : x
  2. Step 2: Convert to fraction form
    222,091/306,490.50 = 121,489/x
  3. Step 3: Cross multiply
    222,091x = 306,490.50 × 121,489
  4. Step 4: Simplify right side
    222,091x = 37,235,224,354.50
  5. Step 5: Solve for x
    x = 37,235,224,354.50/222,091
  6. Step 6: Final answer
    x = 167,657.51

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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.