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Finding the Fourth Proportional to 212,922.96, 319,209.24 and 84,852.24

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Solution

The fourth proportional to 212,922.96, 319,209.24 and 84,852.24 is: 127,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,922.96 : 319,209.24 = 84,852.24 : x
  2. Step 2: Convert to fraction form
    212,922.96/319,209.24 = 84,852.24/x
  3. Step 3: Cross multiply
    212,922.96x = 319,209.24 × 84,852.24
  4. Step 4: Simplify right side
    212,922.96x = 27,085,619,042.70
  5. Step 5: Solve for x
    x = 27,085,619,042.70/212,922.96
  6. Step 6: Final answer
    x = 127,208.54

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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.