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Finding the Fourth Proportional to 205,838.85, 308,599.98 and 104,553.68

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Solution

The fourth proportional to 205,838.85, 308,599.98 and 104,553.68 is: 156,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.85 : 308,599.98 = 104,553.68 : x
  2. Step 2: Convert to fraction form
    205,838.85/308,599.98 = 104,553.68/x
  3. Step 3: Cross multiply
    205,838.85x = 308,599.98 × 104,553.68
  4. Step 4: Simplify right side
    205,838.85x = 32,265,263,556.93
  5. Step 5: Solve for x
    x = 32,265,263,556.93/205,838.85
  6. Step 6: Final answer
    x = 156,750.12

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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.