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Finding the Fourth Proportional to 184,990.71, 255,287.41 and 100,107.78

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Solution

The fourth proportional to 184,990.71, 255,287.41 and 100,107.78 is: 138,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,990.71 : 255,287.41 = 100,107.78 : x
  2. Step 2: Convert to fraction form
    184,990.71/255,287.41 = 100,107.78/x
  3. Step 3: Cross multiply
    184,990.71x = 255,287.41 × 100,107.78
  4. Step 4: Simplify right side
    184,990.71x = 25,556,255,877.05
  5. Step 5: Solve for x
    x = 25,556,255,877.05/184,990.71
  6. Step 6: Final answer
    x = 138,148.86

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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.