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Finding the Fourth Proportional to 77,231.65, 115,858.28 and 32,858.05

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Solution

The fourth proportional to 77,231.65, 115,858.28 and 32,858.05 is: 49,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,231.65 : 115,858.28 = 32,858.05 : x
  2. Step 2: Convert to fraction form
    77,231.65/115,858.28 = 32,858.05/x
  3. Step 3: Cross multiply
    77,231.65x = 115,858.28 × 32,858.05
  4. Step 4: Simplify right side
    77,231.65x = 3,806,876,992.86
  5. Step 5: Solve for x
    x = 3,806,876,992.86/77,231.65
  6. Step 6: Final answer
    x = 49,291.67

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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.