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Finding the Fourth Proportional to 115,756, 173,633.84 and 76,025.76

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Solution

The fourth proportional to 115,756, 173,633.84 and 76,025.76 is: 114,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,756 : 173,633.84 = 76,025.76 : x
  2. Step 2: Convert to fraction form
    115,756/173,633.84 = 76,025.76/x
  3. Step 3: Cross multiply
    115,756x = 173,633.84 × 76,025.76
  4. Step 4: Simplify right side
    115,756x = 13,200,644,647.72
  5. Step 5: Solve for x
    x = 13,200,644,647.72/115,756
  6. Step 6: Final answer
    x = 114,038.53

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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.