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Finding the Fourth Proportional to 202,149.44, 278,971.80 and 111,511.52

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Solution

The fourth proportional to 202,149.44, 278,971.80 and 111,511.52 is: 153,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,149.44 : 278,971.80 = 111,511.52 : x
  2. Step 2: Convert to fraction form
    202,149.44/278,971.80 = 111,511.52/x
  3. Step 3: Cross multiply
    202,149.44x = 278,971.80 × 111,511.52
  4. Step 4: Simplify right side
    202,149.44x = 31,108,569,455.14
  5. Step 5: Solve for x
    x = 31,108,569,455.14/202,149.44
  6. Step 6: Final answer
    x = 153,888.97

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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.