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Finding the Fourth Proportional to 62,074.32, 85,662.87 and 33,780

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Solution

The fourth proportional to 62,074.32, 85,662.87 and 33,780 is: 46,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,074.32 : 85,662.87 = 33,780 : x
  2. Step 2: Convert to fraction form
    62,074.32/85,662.87 = 33,780/x
  3. Step 3: Cross multiply
    62,074.32x = 85,662.87 × 33,780
  4. Step 4: Simplify right side
    62,074.32x = 2,893,691,748.60
  5. Step 5: Solve for x
    x = 2,893,691,748.60/62,074.32
  6. Step 6: Final answer
    x = 46,616.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.