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Finding the Fourth Proportional to 42,850.89, 64,317.89 and 20,679.86

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Solution

The fourth proportional to 42,850.89, 64,317.89 and 20,679.86 is: 31,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,850.89 : 64,317.89 = 20,679.86 : x
  2. Step 2: Convert to fraction form
    42,850.89/64,317.89 = 20,679.86/x
  3. Step 3: Cross multiply
    42,850.89x = 64,317.89 × 20,679.86
  4. Step 4: Simplify right side
    42,850.89x = 1,330,085,173.19
  5. Step 5: Solve for x
    x = 1,330,085,173.19/42,850.89
  6. Step 6: Final answer
    x = 31,039.85

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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.