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Finding the Fourth Proportional to 138,404.35, 190,998.00 and 74,742.14

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Solution

The fourth proportional to 138,404.35, 190,998.00 and 74,742.14 is: 103,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.35 : 190,998.00 = 74,742.14 : x
  2. Step 2: Convert to fraction form
    138,404.35/190,998.00 = 74,742.14/x
  3. Step 3: Cross multiply
    138,404.35x = 190,998.00 × 74,742.14
  4. Step 4: Simplify right side
    138,404.35x = 14,275,598,882.01
  5. Step 5: Solve for x
    x = 14,275,598,882.01/138,404.35
  6. Step 6: Final answer
    x = 103,144.15

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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.