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Finding the Fourth Proportional to 75,765.31, 113,623.36 and 35,778.11

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Solution

The fourth proportional to 75,765.31, 113,623.36 and 35,778.11 is: 53,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,765.31 : 113,623.36 = 35,778.11 : x
  2. Step 2: Convert to fraction form
    75,765.31/113,623.36 = 35,778.11/x
  3. Step 3: Cross multiply
    75,765.31x = 113,623.36 × 35,778.11
  4. Step 4: Simplify right side
    75,765.31x = 4,065,228,415.09
  5. Step 5: Solve for x
    x = 4,065,228,415.09/75,765.31
  6. Step 6: Final answer
    x = 53,655.54

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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.