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Finding the Fourth Proportional to 85,923.36, 128,907.36 and 26,760

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Solution

The fourth proportional to 85,923.36, 128,907.36 and 26,760 is: 40,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,923.36 : 128,907.36 = 26,760 : x
  2. Step 2: Convert to fraction form
    85,923.36/128,907.36 = 26,760/x
  3. Step 3: Cross multiply
    85,923.36x = 128,907.36 × 26,760
  4. Step 4: Simplify right side
    85,923.36x = 3,449,560,953.60
  5. Step 5: Solve for x
    x = 3,449,560,953.60/85,923.36
  6. Step 6: Final answer
    x = 40,146.95

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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.