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Finding the Fourth Proportional to 277,768.63, 416,652.95 and 78,109.30

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Solution

The fourth proportional to 277,768.63, 416,652.95 and 78,109.30 is: 117,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,768.63 : 416,652.95 = 78,109.30 : x
  2. Step 2: Convert to fraction form
    277,768.63/416,652.95 = 78,109.30/x
  3. Step 3: Cross multiply
    277,768.63x = 416,652.95 × 78,109.30
  4. Step 4: Simplify right side
    277,768.63x = 32,544,470,267.44
  5. Step 5: Solve for x
    x = 32,544,470,267.44/277,768.63
  6. Step 6: Final answer
    x = 117,163.95

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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.