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Finding the Fourth Proportional to 78,295.50, 117,463.50 and 25,705.44

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Solution

The fourth proportional to 78,295.50, 117,463.50 and 25,705.44 is: 38,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,295.50 : 117,463.50 = 25,705.44 : x
  2. Step 2: Convert to fraction form
    78,295.50/117,463.50 = 25,705.44/x
  3. Step 3: Cross multiply
    78,295.50x = 117,463.50 × 25,705.44
  4. Step 4: Simplify right side
    78,295.50x = 3,019,450,951.44
  5. Step 5: Solve for x
    x = 3,019,450,951.44/78,295.50
  6. Step 6: Final answer
    x = 38,564.81

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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.