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Finding the Fourth Proportional to 138,404.76, 190,998.56 and 74,742.55

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Solution

The fourth proportional to 138,404.76, 190,998.56 and 74,742.55 is: 103,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.76 : 190,998.56 = 74,742.55 : x
  2. Step 2: Convert to fraction form
    138,404.76/190,998.56 = 74,742.55/x
  3. Step 3: Cross multiply
    138,404.76x = 190,998.56 × 74,742.55
  4. Step 4: Simplify right side
    138,404.76x = 14,275,719,130.09
  5. Step 5: Solve for x
    x = 14,275,719,130.09/138,404.76
  6. Step 6: Final answer
    x = 103,144.71

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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.