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Finding the Fourth Proportional to 277,852.38, 416,778.56 and 78,172.66

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Solution

The fourth proportional to 277,852.38, 416,778.56 and 78,172.66 is: 117,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,852.38 : 416,778.56 = 78,172.66 : x
  2. Step 2: Convert to fraction form
    277,852.38/416,778.56 = 78,172.66/x
  3. Step 3: Cross multiply
    277,852.38x = 416,778.56 × 78,172.66
  4. Step 4: Simplify right side
    277,852.38x = 32,580,689,529.15
  5. Step 5: Solve for x
    x = 32,580,689,529.15/277,852.38
  6. Step 6: Final answer
    x = 117,258.99

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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.