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Finding the Fourth Proportional to 274,788.84, 412,203.30 and 85,225.14

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Solution

The fourth proportional to 274,788.84, 412,203.30 and 85,225.14 is: 127,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,788.84 : 412,203.30 = 85,225.14 : x
  2. Step 2: Convert to fraction form
    274,788.84/412,203.30 = 85,225.14/x
  3. Step 3: Cross multiply
    274,788.84x = 412,203.30 × 85,225.14
  4. Step 4: Simplify right side
    274,788.84x = 35,130,083,950.96
  5. Step 5: Solve for x
    x = 35,130,083,950.96/274,788.84
  6. Step 6: Final answer
    x = 127,843.93

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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.