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Finding the Fourth Proportional to 201,861.20, 302,208.60 and 123,129.20

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Solution

The fourth proportional to 201,861.20, 302,208.60 and 123,129.20 is: 184,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,861.20 : 302,208.60 = 123,129.20 : x
  2. Step 2: Convert to fraction form
    201,861.20/302,208.60 = 123,129.20/x
  3. Step 3: Cross multiply
    201,861.20x = 302,208.60 × 123,129.20
  4. Step 4: Simplify right side
    201,861.20x = 37,210,703,151.12
  5. Step 5: Solve for x
    x = 37,210,703,151.12/201,861.20
  6. Step 6: Final answer
    x = 184,338.07

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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.