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Finding the Fourth Proportional to 201,514.10, 302,465.55 and 101,786.90

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Solution

The fourth proportional to 201,514.10, 302,465.55 and 101,786.90 is: 152,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,514.10 : 302,465.55 = 101,786.90 : x
  2. Step 2: Convert to fraction form
    201,514.10/302,465.55 = 101,786.90/x
  3. Step 3: Cross multiply
    201,514.10x = 302,465.55 × 101,786.90
  4. Step 4: Simplify right side
    201,514.10x = 30,787,030,691.30
  5. Step 5: Solve for x
    x = 30,787,030,691.30/201,514.10
  6. Step 6: Final answer
    x = 152,778.54

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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.