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Finding the Fourth Proportional to 217,742.75, 300,489.75 and 119,627.25

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Solution

The fourth proportional to 217,742.75, 300,489.75 and 119,627.25 is: 165,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,742.75 : 300,489.75 = 119,627.25 : x
  2. Step 2: Convert to fraction form
    217,742.75/300,489.75 = 119,627.25/x
  3. Step 3: Cross multiply
    217,742.75x = 300,489.75 × 119,627.25
  4. Step 4: Simplify right side
    217,742.75x = 35,946,762,445.69
  5. Step 5: Solve for x
    x = 35,946,762,445.69/217,742.75
  6. Step 6: Final answer
    x = 165,088.22

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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.