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Finding the Fourth Proportional to 222,071.84, 306,451.50 and 126,609.28

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Solution

The fourth proportional to 222,071.84, 306,451.50 and 126,609.28 is: 174,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,071.84 : 306,451.50 = 126,609.28 : x
  2. Step 2: Convert to fraction form
    222,071.84/306,451.50 = 126,609.28/x
  3. Step 3: Cross multiply
    222,071.84x = 306,451.50 × 126,609.28
  4. Step 4: Simplify right side
    222,071.84x = 38,799,603,769.92
  5. Step 5: Solve for x
    x = 38,799,603,769.92/222,071.84
  6. Step 6: Final answer
    x = 174,716.45

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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.