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Finding the Fourth Proportional to 100,684.88, 151,041.89 and 30,564.26

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Solution

The fourth proportional to 100,684.88, 151,041.89 and 30,564.26 is: 45,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.88 : 151,041.89 = 30,564.26 : x
  2. Step 2: Convert to fraction form
    100,684.88/151,041.89 = 30,564.26/x
  3. Step 3: Cross multiply
    100,684.88x = 151,041.89 × 30,564.26
  4. Step 4: Simplify right side
    100,684.88x = 4,616,482,918.05
  5. Step 5: Solve for x
    x = 4,616,482,918.05/100,684.88
  6. Step 6: Final answer
    x = 45,850.81

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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.