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Finding the Fourth Proportional to 100,699.72, 151,039.77 and 30,579.64

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Solution

The fourth proportional to 100,699.72, 151,039.77 and 30,579.64 is: 45,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,699.72 : 151,039.77 = 30,579.64 : x
  2. Step 2: Convert to fraction form
    100,699.72/151,039.77 = 30,579.64/x
  3. Step 3: Cross multiply
    100,699.72x = 151,039.77 × 30,579.64
  4. Step 4: Simplify right side
    100,699.72x = 4,618,741,792.28
  5. Step 5: Solve for x
    x = 4,618,741,792.28/100,699.72
  6. Step 6: Final answer
    x = 45,866.48

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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.