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Finding the Fourth Proportional to 217,142.16, 325,664.64 and 104,817.84

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Solution

The fourth proportional to 217,142.16, 325,664.64 and 104,817.84 is: 157,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,142.16 : 325,664.64 = 104,817.84 : x
  2. Step 2: Convert to fraction form
    217,142.16/325,664.64 = 104,817.84/x
  3. Step 3: Cross multiply
    217,142.16x = 325,664.64 × 104,817.84
  4. Step 4: Simplify right side
    217,142.16x = 34,135,464,129.18
  5. Step 5: Solve for x
    x = 34,135,464,129.18/217,142.16
  6. Step 6: Final answer
    x = 157,203.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.