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Finding the Fourth Proportional to 201,243.10, 301,901.10 and 101,151.40

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Solution

The fourth proportional to 201,243.10, 301,901.10 and 101,151.40 is: 151,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,243.10 : 301,901.10 = 101,151.40 : x
  2. Step 2: Convert to fraction form
    201,243.10/301,901.10 = 101,151.40/x
  3. Step 3: Cross multiply
    201,243.10x = 301,901.10 × 101,151.40
  4. Step 4: Simplify right side
    201,243.10x = 30,537,718,926.54
  5. Step 5: Solve for x
    x = 30,537,718,926.54/201,243.10
  6. Step 6: Final answer
    x = 151,745.42

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1.5x scale

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.