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Finding the Fourth Proportional to 68,573.44, 102,775.38 and 40,465

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Solution

The fourth proportional to 68,573.44, 102,775.38 and 40,465 is: 60,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,573.44 : 102,775.38 = 40,465 : x
  2. Step 2: Convert to fraction form
    68,573.44/102,775.38 = 40,465/x
  3. Step 3: Cross multiply
    68,573.44x = 102,775.38 × 40,465
  4. Step 4: Simplify right side
    68,573.44x = 4,158,805,751.70
  5. Step 5: Solve for x
    x = 4,158,805,751.70/68,573.44
  6. Step 6: Final answer
    x = 60,647.47

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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.