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Finding the Fourth Proportional to 100,829.70, 151,208.10 and 50,893.20

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Solution

The fourth proportional to 100,829.70, 151,208.10 and 50,893.20 is: 76,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829.70 : 151,208.10 = 50,893.20 : x
  2. Step 2: Convert to fraction form
    100,829.70/151,208.10 = 50,893.20/x
  3. Step 3: Cross multiply
    100,829.70x = 151,208.10 × 50,893.20
  4. Step 4: Simplify right side
    100,829.70x = 7,695,464,074.92
  5. Step 5: Solve for x
    x = 7,695,464,074.92/100,829.70
  6. Step 6: Final answer
    x = 76,321.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.