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Finding the Fourth Proportional to 275,362.65, 412,964.58 and 75,689.55

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Solution

The fourth proportional to 275,362.65, 412,964.58 and 75,689.55 is: 113,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,362.65 : 412,964.58 = 75,689.55 : x
  2. Step 2: Convert to fraction form
    275,362.65/412,964.58 = 75,689.55/x
  3. Step 3: Cross multiply
    275,362.65x = 412,964.58 × 75,689.55
  4. Step 4: Simplify right side
    275,362.65x = 31,257,103,226.14
  5. Step 5: Solve for x
    x = 31,257,103,226.14/275,362.65
  6. Step 6: Final answer
    x = 113,512.50

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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.