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Finding the Fourth Proportional to 201,603.85, 302,442.23 and 101,512.15

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Solution

The fourth proportional to 201,603.85, 302,442.23 and 101,512.15 is: 152,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,603.85 : 302,442.23 = 101,512.15 : x
  2. Step 2: Convert to fraction form
    201,603.85/302,442.23 = 101,512.15/x
  3. Step 3: Cross multiply
    201,603.85x = 302,442.23 × 101,512.15
  4. Step 4: Simplify right side
    201,603.85x = 30,701,561,018.09
  5. Step 5: Solve for x
    x = 30,701,561,018.09/201,603.85
  6. Step 6: Final answer
    x = 152,286.58

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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.