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Finding the Fourth Proportional to 222,465.76, 306,999.84 and 121,864.48

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Solution

The fourth proportional to 222,465.76, 306,999.84 and 121,864.48 is: 168,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,465.76 : 306,999.84 = 121,864.48 : x
  2. Step 2: Convert to fraction form
    222,465.76/306,999.84 = 121,864.48/x
  3. Step 3: Cross multiply
    222,465.76x = 306,999.84 × 121,864.48
  4. Step 4: Simplify right side
    222,465.76x = 37,412,375,861.68
  5. Step 5: Solve for x
    x = 37,412,375,861.68/222,465.76
  6. Step 6: Final answer
    x = 168,171.39

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1.5x scale

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.