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Finding the Fourth Proportional to 222,116, 306,520.16 and 121,516.16

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Solution

The fourth proportional to 222,116, 306,520.16 and 121,516.16 is: 167,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,116 : 306,520.16 = 121,516.16 : x
  2. Step 2: Convert to fraction form
    222,116/306,520.16 = 121,516.16/x
  3. Step 3: Cross multiply
    222,116x = 306,520.16 × 121,516.16
  4. Step 4: Simplify right side
    222,116x = 37,247,152,805.79
  5. Step 5: Solve for x
    x = 37,247,152,805.79/222,116
  6. Step 6: Final answer
    x = 167,692.34

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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.