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Finding the Fourth Proportional to 201,288.10, 301,968.60 and 101,196.40

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Solution

The fourth proportional to 201,288.10, 301,968.60 and 101,196.40 is: 151,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288.10 : 301,968.60 = 101,196.40 : x
  2. Step 2: Convert to fraction form
    201,288.10/301,968.60 = 101,196.40/x
  3. Step 3: Cross multiply
    201,288.10x = 301,968.60 × 101,196.40
  4. Step 4: Simplify right side
    201,288.10x = 30,558,135,233.04
  5. Step 5: Solve for x
    x = 30,558,135,233.04/201,288.10
  6. Step 6: Final answer
    x = 151,812.93

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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.