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Finding the Fourth Proportional to 201,202.60, 301,803.90 and 101,324.20

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Solution

The fourth proportional to 201,202.60, 301,803.90 and 101,324.20 is: 151,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,202.60 : 301,803.90 = 101,324.20 : x
  2. Step 2: Convert to fraction form
    201,202.60/301,803.90 = 101,324.20/x
  3. Step 3: Cross multiply
    201,202.60x = 301,803.90 × 101,324.20
  4. Step 4: Simplify right side
    201,202.60x = 30,580,038,724.38
  5. Step 5: Solve for x
    x = 30,580,038,724.38/201,202.60
  6. Step 6: Final answer
    x = 151,986.30

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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.