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Finding the Fourth Proportional to 201,247.10, 301,907.10 and 101,155.40

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Solution

The fourth proportional to 201,247.10, 301,907.10 and 101,155.40 is: 151,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,247.10 : 301,907.10 = 101,155.40 : x
  2. Step 2: Convert to fraction form
    201,247.10/301,907.10 = 101,155.40/x
  3. Step 3: Cross multiply
    201,247.10x = 301,907.10 × 101,155.40
  4. Step 4: Simplify right side
    201,247.10x = 30,539,533,463.34
  5. Step 5: Solve for x
    x = 30,539,533,463.34/201,247.10
  6. Step 6: Final answer
    x = 151,751.42

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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.