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Finding the Fourth Proportional to 78,232.89, 107,921.40 and 49,504.22

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Solution

The fourth proportional to 78,232.89, 107,921.40 and 49,504.22 is: 68,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232.89 : 107,921.40 = 49,504.22 : x
  2. Step 2: Convert to fraction form
    78,232.89/107,921.40 = 49,504.22/x
  3. Step 3: Cross multiply
    78,232.89x = 107,921.40 × 49,504.22
  4. Step 4: Simplify right side
    78,232.89x = 5,342,564,188.70
  5. Step 5: Solve for x
    x = 5,342,564,188.70/78,232.89
  6. Step 6: Final answer
    x = 68,290.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.