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Finding the Fourth Proportional to 55,921, 77,171 and 33,565

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Solution

The fourth proportional to 55,921, 77,171 and 33,565 is: 46,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,921 : 77,171 = 33,565 : x
  2. Step 2: Convert to fraction form
    55,921/77,171 = 33,565/x
  3. Step 3: Cross multiply
    55,921x = 77,171 × 33,565
  4. Step 4: Simplify right side
    55,921x = 2,590,244,615
  5. Step 5: Solve for x
    x = 2,590,244,615/55,921
  6. Step 6: Final answer
    x = 46,319.71

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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.