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Finding the Fourth Proportional to 77,295.20, 115,942.80 and 72,072.80

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Solution

The fourth proportional to 77,295.20, 115,942.80 and 72,072.80 is: 108,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,295.20 : 115,942.80 = 72,072.80 : x
  2. Step 2: Convert to fraction form
    77,295.20/115,942.80 = 72,072.80/x
  3. Step 3: Cross multiply
    77,295.20x = 115,942.80 × 72,072.80
  4. Step 4: Simplify right side
    77,295.20x = 8,356,322,235.84
  5. Step 5: Solve for x
    x = 8,356,322,235.84/77,295.20
  6. Step 6: Final answer
    x = 108,109.20

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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.