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Finding the Fourth Proportional to 68,075.76, 93,945.72 and 39,782.64

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Solution

The fourth proportional to 68,075.76, 93,945.72 and 39,782.64 is: 54,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,075.76 : 93,945.72 = 39,782.64 : x
  2. Step 2: Convert to fraction form
    68,075.76/93,945.72 = 39,782.64/x
  3. Step 3: Cross multiply
    68,075.76x = 93,945.72 × 39,782.64
  4. Step 4: Simplify right side
    68,075.76x = 3,737,408,758.30
  5. Step 5: Solve for x
    x = 3,737,408,758.30/68,075.76
  6. Step 6: Final answer
    x = 54,900.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.