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Finding the Fourth Proportional to 77,308.21, 115,978.87 and 23,999.02

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Solution

The fourth proportional to 77,308.21, 115,978.87 and 23,999.02 is: 36,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,308.21 : 115,978.87 = 23,999.02 : x
  2. Step 2: Convert to fraction form
    77,308.21/115,978.87 = 23,999.02/x
  3. Step 3: Cross multiply
    77,308.21x = 115,978.87 × 23,999.02
  4. Step 4: Simplify right side
    77,308.21x = 2,783,379,220.71
  5. Step 5: Solve for x
    x = 2,783,379,220.71/77,308.21
  6. Step 6: Final answer
    x = 36,003.67

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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.