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Finding the Fourth Proportional to 201,230.70, 301,500.45 and 106,320.30

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Solution

The fourth proportional to 201,230.70, 301,500.45 and 106,320.30 is: 159,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,230.70 : 301,500.45 = 106,320.30 : x
  2. Step 2: Convert to fraction form
    201,230.70/301,500.45 = 106,320.30/x
  3. Step 3: Cross multiply
    201,230.70x = 301,500.45 × 106,320.30
  4. Step 4: Simplify right side
    201,230.70x = 32,055,618,294.14
  5. Step 5: Solve for x
    x = 32,055,618,294.14/201,230.70
  6. Step 6: Final answer
    x = 159,297.85

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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.