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Finding the Fourth Proportional to 100,188, 138,259.44 and 55,476

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Solution

The fourth proportional to 100,188, 138,259.44 and 55,476 is: 76,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,188 : 138,259.44 = 55,476 : x
  2. Step 2: Convert to fraction form
    100,188/138,259.44 = 55,476/x
  3. Step 3: Cross multiply
    100,188x = 138,259.44 × 55,476
  4. Step 4: Simplify right side
    100,188x = 7,670,080,693.44
  5. Step 5: Solve for x
    x = 7,670,080,693.44/100,188
  6. Step 6: Final answer
    x = 76,556.88

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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.