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Finding the Fourth Proportional to 270,627.92, 405,980.76 and 83,654

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Solution

The fourth proportional to 270,627.92, 405,980.76 and 83,654 is: 125,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,627.92 : 405,980.76 = 83,654 : x
  2. Step 2: Convert to fraction form
    270,627.92/405,980.76 = 83,654/x
  3. Step 3: Cross multiply
    270,627.92x = 405,980.76 × 83,654
  4. Step 4: Simplify right side
    270,627.92x = 33,961,914,497.04
  5. Step 5: Solve for x
    x = 33,961,914,497.04/270,627.92
  6. Step 6: Final answer
    x = 125,493.02

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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.