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Finding the Fourth Proportional to 100,720.63, 151,083.29 and 33,231

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Solution

The fourth proportional to 100,720.63, 151,083.29 and 33,231 is: 49,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,720.63 : 151,083.29 = 33,231 : x
  2. Step 2: Convert to fraction form
    100,720.63/151,083.29 = 33,231/x
  3. Step 3: Cross multiply
    100,720.63x = 151,083.29 × 33,231
  4. Step 4: Simplify right side
    100,720.63x = 5,020,648,809.99
  5. Step 5: Solve for x
    x = 5,020,648,809.99/100,720.63
  6. Step 6: Final answer
    x = 49,847.27

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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.