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Finding the Fourth Proportional to 185,287.50, 255,696.75 and 100,404.56

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Solution

The fourth proportional to 185,287.50, 255,696.75 and 100,404.56 is: 138,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,287.50 : 255,696.75 = 100,404.56 : x
  2. Step 2: Convert to fraction form
    185,287.50/255,696.75 = 100,404.56/x
  3. Step 3: Cross multiply
    185,287.50x = 255,696.75 × 100,404.56
  4. Step 4: Simplify right side
    185,287.50x = 25,673,120,316.42
  5. Step 5: Solve for x
    x = 25,673,120,316.42/185,287.50
  6. Step 6: Final answer
    x = 138,558.30

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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.