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Finding the Fourth Proportional to 202,102.28, 278,913.93 and 111,458.42

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Solution

The fourth proportional to 202,102.28, 278,913.93 and 111,458.42 is: 153,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102.28 : 278,913.93 = 111,458.42 : x
  2. Step 2: Convert to fraction form
    202,102.28/278,913.93 = 111,458.42/x
  3. Step 3: Cross multiply
    202,102.28x = 278,913.93 × 111,458.42
  4. Step 4: Simplify right side
    202,102.28x = 31,087,304,559.22
  5. Step 5: Solve for x
    x = 31,087,304,559.22/202,102.28
  6. Step 6: Final answer
    x = 153,819.67

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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.