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Finding the Fourth Proportional to 201,200.10, 301,836.60 and 101,108.40

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Solution

The fourth proportional to 201,200.10, 301,836.60 and 101,108.40 is: 151,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.10 : 301,836.60 = 101,108.40 : x
  2. Step 2: Convert to fraction form
    201,200.10/301,836.60 = 101,108.40/x
  3. Step 3: Cross multiply
    201,200.10x = 301,836.60 × 101,108.40
  4. Step 4: Simplify right side
    201,200.10x = 30,518,215,687.44
  5. Step 5: Solve for x
    x = 30,518,215,687.44/201,200.10
  6. Step 6: Final answer
    x = 151,680.92

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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.