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Finding the Fourth Proportional to 76,879, 115,332.44 and 34,778.91

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Solution

The fourth proportional to 76,879, 115,332.44 and 34,778.91 is: 52,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879 : 115,332.44 = 34,778.91 : x
  2. Step 2: Convert to fraction form
    76,879/115,332.44 = 34,778.91/x
  3. Step 3: Cross multiply
    76,879x = 115,332.44 × 34,778.91
  4. Step 4: Simplify right side
    76,879x = 4,011,136,550.84
  5. Step 5: Solve for x
    x = 4,011,136,550.84/76,879
  6. Step 6: Final answer
    x = 52,174.67

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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.