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Finding the Fourth Proportional to 275,382.06, 412,740.95 and 142,189.67

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Solution

The fourth proportional to 275,382.06, 412,740.95 and 142,189.67 is: 213,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,382.06 : 412,740.95 = 142,189.67 : x
  2. Step 2: Convert to fraction form
    275,382.06/412,740.95 = 142,189.67/x
  3. Step 3: Cross multiply
    275,382.06x = 412,740.95 × 142,189.67
  4. Step 4: Simplify right side
    275,382.06x = 58,687,496,701.33
  5. Step 5: Solve for x
    x = 58,687,496,701.33/275,382.06
  6. Step 6: Final answer
    x = 213,113.00

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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.