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Finding the Fourth Proportional to 217,008, 325,688.58 and 111,857.04

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Solution

The fourth proportional to 217,008, 325,688.58 and 111,857.04 is: 167,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,008 : 325,688.58 = 111,857.04 : x
  2. Step 2: Convert to fraction form
    217,008/325,688.58 = 111,857.04/x
  3. Step 3: Cross multiply
    217,008x = 325,688.58 × 111,857.04
  4. Step 4: Simplify right side
    217,008x = 36,430,560,520.60
  5. Step 5: Solve for x
    x = 36,430,560,520.60/217,008
  6. Step 6: Final answer
    x = 167,876.58

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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.