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Finding the Fourth Proportional to 205,668.10, 308,508.98 and 70,730.84

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Solution

The fourth proportional to 205,668.10, 308,508.98 and 70,730.84 is: 106,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,668.10 : 308,508.98 = 70,730.84 : x
  2. Step 2: Convert to fraction form
    205,668.10/308,508.98 = 70,730.84/x
  3. Step 3: Cross multiply
    205,668.10x = 308,508.98 × 70,730.84
  4. Step 4: Simplify right side
    205,668.10x = 21,821,099,302.94
  5. Step 5: Solve for x
    x = 21,821,099,302.94/205,668.10
  6. Step 6: Final answer
    x = 106,098.61

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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.