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Finding the Fourth Proportional to 78,131.79, 117,188.37 and 21,976.11

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Solution

The fourth proportional to 78,131.79, 117,188.37 and 21,976.11 is: 32,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,131.79 : 117,188.37 = 21,976.11 : x
  2. Step 2: Convert to fraction form
    78,131.79/117,188.37 = 21,976.11/x
  3. Step 3: Cross multiply
    78,131.79x = 117,188.37 × 21,976.11
  4. Step 4: Simplify right side
    78,131.79x = 2,575,344,509.84
  5. Step 5: Solve for x
    x = 2,575,344,509.84/78,131.79
  6. Step 6: Final answer
    x = 32,961.54

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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.