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Finding the Fourth Proportional to 274,731.45, 412,156.38 and 85,188.01

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Solution

The fourth proportional to 274,731.45, 412,156.38 and 85,188.01 is: 127,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,731.45 : 412,156.38 = 85,188.01 : x
  2. Step 2: Convert to fraction form
    274,731.45/412,156.38 = 85,188.01/x
  3. Step 3: Cross multiply
    274,731.45x = 412,156.38 × 85,188.01
  4. Step 4: Simplify right side
    274,731.45x = 35,110,780,688.88
  5. Step 5: Solve for x
    x = 35,110,780,688.88/274,731.45
  6. Step 6: Final answer
    x = 127,800.37

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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.