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Finding the Fourth Proportional to 202,161.69, 278,967.65 and 111,521.07

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Solution

The fourth proportional to 202,161.69, 278,967.65 and 111,521.07 is: 153,890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161.69 : 278,967.65 = 111,521.07 : x
  2. Step 2: Convert to fraction form
    202,161.69/278,967.65 = 111,521.07/x
  3. Step 3: Cross multiply
    202,161.69x = 278,967.65 × 111,521.07
  4. Step 4: Simplify right side
    202,161.69x = 31,110,770,265.78
  5. Step 5: Solve for x
    x = 31,110,770,265.78/202,161.69
  6. Step 6: Final answer
    x = 153,890.53

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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.