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Finding the Fourth Proportional to 275,263.65, 412,933.98 and 85,737.78

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Solution

The fourth proportional to 275,263.65, 412,933.98 and 85,737.78 is: 128,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,263.65 : 412,933.98 = 85,737.78 : x
  2. Step 2: Convert to fraction form
    275,263.65/412,933.98 = 85,737.78/x
  3. Step 3: Cross multiply
    275,263.65x = 412,933.98 × 85,737.78
  4. Step 4: Simplify right side
    275,263.65x = 35,404,042,731.76
  5. Step 5: Solve for x
    x = 35,404,042,731.76/275,263.65
  6. Step 6: Final answer
    x = 128,618.66

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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.