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Finding the Fourth Proportional to 78,636.96, 117,974.07 and 34,271.64

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Solution

The fourth proportional to 78,636.96, 117,974.07 and 34,271.64 is: 51,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,636.96 : 117,974.07 = 34,271.64 : x
  2. Step 2: Convert to fraction form
    78,636.96/117,974.07 = 34,271.64/x
  3. Step 3: Cross multiply
    78,636.96x = 117,974.07 × 34,271.64
  4. Step 4: Simplify right side
    78,636.96x = 4,043,164,856.37
  5. Step 5: Solve for x
    x = 4,043,164,856.37/78,636.96
  6. Step 6: Final answer
    x = 51,415.58

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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.