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Finding the Fourth Proportional to 222,105.84, 306,513.44 and 121,503.84

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Solution

The fourth proportional to 222,105.84, 306,513.44 and 121,503.84 is: 167,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,105.84 : 306,513.44 = 121,503.84 : x
  2. Step 2: Convert to fraction form
    222,105.84/306,513.44 = 121,503.84/x
  3. Step 3: Cross multiply
    222,105.84x = 306,513.44 × 121,503.84
  4. Step 4: Simplify right side
    222,105.84x = 37,242,559,971.61
  5. Step 5: Solve for x
    x = 37,242,559,971.61/222,105.84
  6. Step 6: Final answer
    x = 167,679.34

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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.