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Finding the Fourth Proportional to 138,404.50, 190,998.21 and 74,742.30

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Solution

The fourth proportional to 138,404.50, 190,998.21 and 74,742.30 is: 103,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.50 : 190,998.21 = 74,742.30 : x
  2. Step 2: Convert to fraction form
    138,404.50/190,998.21 = 74,742.30/x
  3. Step 3: Cross multiply
    138,404.50x = 190,998.21 × 74,742.30
  4. Step 4: Simplify right side
    138,404.50x = 14,275,645,511.28
  5. Step 5: Solve for x
    x = 14,275,645,511.28/138,404.50
  6. Step 6: Final answer
    x = 103,144.37

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1.5x scale

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.