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Finding the Fourth Proportional to 222,063, 306,451.80 and 121,461

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Solution

The fourth proportional to 222,063, 306,451.80 and 121,461 is: 167,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,063 : 306,451.80 = 121,461 : x
  2. Step 2: Convert to fraction form
    222,063/306,451.80 = 121,461/x
  3. Step 3: Cross multiply
    222,063x = 306,451.80 × 121,461
  4. Step 4: Simplify right side
    222,063x = 37,221,942,079.80
  5. Step 5: Solve for x
    x = 37,221,942,079.80/222,063
  6. Step 6: Final answer
    x = 167,618.84

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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.