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Finding the Fourth Proportional to 201,230.20, 301,499.70 and 106,319.80

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Solution

The fourth proportional to 201,230.20, 301,499.70 and 106,319.80 is: 159,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,230.20 : 301,499.70 = 106,319.80 : x
  2. Step 2: Convert to fraction form
    201,230.20/301,499.70 = 106,319.80/x
  3. Step 3: Cross multiply
    201,230.20x = 301,499.70 × 106,319.80
  4. Step 4: Simplify right side
    201,230.20x = 32,055,387,804.06
  5. Step 5: Solve for x
    x = 32,055,387,804.06/201,230.20
  6. Step 6: Final answer
    x = 159,297.10

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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.