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Finding the Fourth Proportional to 270,529.92, 405,833.76 and 83,556

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Solution

The fourth proportional to 270,529.92, 405,833.76 and 83,556 is: 125,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,529.92 : 405,833.76 = 83,556 : x
  2. Step 2: Convert to fraction form
    270,529.92/405,833.76 = 83,556/x
  3. Step 3: Cross multiply
    270,529.92x = 405,833.76 × 83,556
  4. Step 4: Simplify right side
    270,529.92x = 33,909,845,650.56
  5. Step 5: Solve for x
    x = 33,909,845,650.56/270,529.92
  6. Step 6: Final answer
    x = 125,346.01

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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.