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Finding the Fourth Proportional to 201,708.20, 302,627.10 and 135,223.40

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Solution

The fourth proportional to 201,708.20, 302,627.10 and 135,223.40 is: 202,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,708.20 : 302,627.10 = 135,223.40 : x
  2. Step 2: Convert to fraction form
    201,708.20/302,627.10 = 135,223.40/x
  3. Step 3: Cross multiply
    201,708.20x = 302,627.10 × 135,223.40
  4. Step 4: Simplify right side
    201,708.20x = 40,922,265,394.14
  5. Step 5: Solve for x
    x = 40,922,265,394.14/201,708.20
  6. Step 6: Final answer
    x = 202,878.54

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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.