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Finding the Fourth Proportional to 202,016.63, 278,784.86 and 111,375.81

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Solution

The fourth proportional to 202,016.63, 278,784.86 and 111,375.81 is: 153,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.63 : 278,784.86 = 111,375.81 : x
  2. Step 2: Convert to fraction form
    202,016.63/278,784.86 = 111,375.81/x
  3. Step 3: Cross multiply
    202,016.63x = 278,784.86 × 111,375.81
  4. Step 4: Simplify right side
    202,016.63x = 31,049,889,041.36
  5. Step 5: Solve for x
    x = 31,049,889,041.36/202,016.63
  6. Step 6: Final answer
    x = 153,699.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.