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Finding the Fourth Proportional to 270,530.92, 405,835.26 and 83,557

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Solution

The fourth proportional to 270,530.92, 405,835.26 and 83,557 is: 125,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,530.92 : 405,835.26 = 83,557 : x
  2. Step 2: Convert to fraction form
    270,530.92/405,835.26 = 83,557/x
  3. Step 3: Cross multiply
    270,530.92x = 405,835.26 × 83,557
  4. Step 4: Simplify right side
    270,530.92x = 33,910,376,819.82
  5. Step 5: Solve for x
    x = 33,910,376,819.82/270,530.92
  6. Step 6: Final answer
    x = 125,347.51

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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.