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Finding the Fourth Proportional to 78,096.94, 117,131.27 and 21,923.24

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Solution

The fourth proportional to 78,096.94, 117,131.27 and 21,923.24 is: 32,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096.94 : 117,131.27 = 21,923.24 : x
  2. Step 2: Convert to fraction form
    78,096.94/117,131.27 = 21,923.24/x
  3. Step 3: Cross multiply
    78,096.94x = 117,131.27 × 21,923.24
  4. Step 4: Simplify right side
    78,096.94x = 2,567,896,248.44
  5. Step 5: Solve for x
    x = 2,567,896,248.44/78,096.94
  6. Step 6: Final answer
    x = 32,880.88

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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.