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Finding the Fourth Proportional to 205,835.60, 308,676.60 and 81,150.80

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Solution

The fourth proportional to 205,835.60, 308,676.60 and 81,150.80 is: 121,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,835.60 : 308,676.60 = 81,150.80 : x
  2. Step 2: Convert to fraction form
    205,835.60/308,676.60 = 81,150.80/x
  3. Step 3: Cross multiply
    205,835.60x = 308,676.60 × 81,150.80
  4. Step 4: Simplify right side
    205,835.60x = 25,049,353,031.28
  5. Step 5: Solve for x
    x = 25,049,353,031.28/205,835.60
  6. Step 6: Final answer
    x = 121,695.92

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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.