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Finding the Fourth Proportional to 201,310.10, 302,001.60 and 101,218.40

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Solution

The fourth proportional to 201,310.10, 302,001.60 and 101,218.40 is: 151,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310.10 : 302,001.60 = 101,218.40 : x
  2. Step 2: Convert to fraction form
    201,310.10/302,001.60 = 101,218.40/x
  3. Step 3: Cross multiply
    201,310.10x = 302,001.60 × 101,218.40
  4. Step 4: Simplify right side
    201,310.10x = 30,568,118,749.44
  5. Step 5: Solve for x
    x = 30,568,118,749.44/201,310.10
  6. Step 6: Final answer
    x = 151,845.93

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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.