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Finding the Fourth Proportional to 201,231.20, 301,501.20 and 106,320.80

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Solution

The fourth proportional to 201,231.20, 301,501.20 and 106,320.80 is: 159,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.20 : 301,501.20 = 106,320.80 : x
  2. Step 2: Convert to fraction form
    201,231.20/301,501.20 = 106,320.80/x
  3. Step 3: Cross multiply
    201,231.20x = 301,501.20 × 106,320.80
  4. Step 4: Simplify right side
    201,231.20x = 32,055,848,784.96
  5. Step 5: Solve for x
    x = 32,055,848,784.96/201,231.20
  6. Step 6: Final answer
    x = 159,298.60

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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.