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Finding the Fourth Proportional to 202,139.64, 302,815.44 and 123,057.72

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Solution

The fourth proportional to 202,139.64, 302,815.44 and 123,057.72 is: 184,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.64 : 302,815.44 = 123,057.72 : x
  2. Step 2: Convert to fraction form
    202,139.64/302,815.44 = 123,057.72/x
  3. Step 3: Cross multiply
    202,139.64x = 302,815.44 × 123,057.72
  4. Step 4: Simplify right side
    202,139.64x = 37,263,777,627.20
  5. Step 5: Solve for x
    x = 37,263,777,627.20/202,139.64
  6. Step 6: Final answer
    x = 184,346.71

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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.