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Finding the Fourth Proportional to 274,857.84, 412,345.56 and 85,314.06

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Solution

The fourth proportional to 274,857.84, 412,345.56 and 85,314.06 is: 127,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,857.84 : 412,345.56 = 85,314.06 : x
  2. Step 2: Convert to fraction form
    274,857.84/412,345.56 = 85,314.06/x
  3. Step 3: Cross multiply
    274,857.84x = 412,345.56 × 85,314.06
  4. Step 4: Simplify right side
    274,857.84x = 35,178,873,846.57
  5. Step 5: Solve for x
    x = 35,178,873,846.57/274,857.84
  6. Step 6: Final answer
    x = 127,989.34

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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.