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Finding the Fourth Proportional to 138,404.39, 190,998.03 and 74,742.18

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Solution

The fourth proportional to 138,404.39, 190,998.03 and 74,742.18 is: 103,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.39 : 190,998.03 = 74,742.18 : x
  2. Step 2: Convert to fraction form
    138,404.39/190,998.03 = 74,742.18/x
  3. Step 3: Cross multiply
    138,404.39x = 190,998.03 × 74,742.18
  4. Step 4: Simplify right side
    138,404.39x = 14,275,609,137.91
  5. Step 5: Solve for x
    x = 14,275,609,137.91/138,404.39
  6. Step 6: Final answer
    x = 103,144.20

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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.