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Finding the Fourth Proportional to 205,578.10, 308,416.23 and 65,336.98

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Solution

The fourth proportional to 205,578.10, 308,416.23 and 65,336.98 is: 98,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,578.10 : 308,416.23 = 65,336.98 : x
  2. Step 2: Convert to fraction form
    205,578.10/308,416.23 = 65,336.98/x
  3. Step 3: Cross multiply
    205,578.10x = 308,416.23 × 65,336.98
  4. Step 4: Simplify right side
    205,578.10x = 20,150,985,051.19
  5. Step 5: Solve for x
    x = 20,150,985,051.19/205,578.10
  6. Step 6: Final answer
    x = 98,021.07

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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.