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Finding the Fourth Proportional to 75,406.75, 112,937.87 and 35,991.54

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Solution

The fourth proportional to 75,406.75, 112,937.87 and 35,991.54 is: 53,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,406.75 : 112,937.87 = 35,991.54 : x
  2. Step 2: Convert to fraction form
    75,406.75/112,937.87 = 35,991.54/x
  3. Step 3: Cross multiply
    75,406.75x = 112,937.87 × 35,991.54
  4. Step 4: Simplify right side
    75,406.75x = 4,064,807,865.62
  5. Step 5: Solve for x
    x = 4,064,807,865.62/75,406.75
  6. Step 6: Final answer
    x = 53,905.09

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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.