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Finding the Fourth Proportional to 85,941.82, 128,780.87 and 35,994.59

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Solution

The fourth proportional to 85,941.82, 128,780.87 and 35,994.59 is: 53,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,941.82 : 128,780.87 = 35,994.59 : x
  2. Step 2: Convert to fraction form
    85,941.82/128,780.87 = 35,994.59/x
  3. Step 3: Cross multiply
    85,941.82x = 128,780.87 × 35,994.59
  4. Step 4: Simplify right side
    85,941.82x = 4,635,413,791.62
  5. Step 5: Solve for x
    x = 4,635,413,791.62/85,941.82
  6. Step 6: Final answer
    x = 53,936.65

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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.