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Finding the Fourth Proportional to 205,578.20, 308,356.27 and 65,325.89

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Solution

The fourth proportional to 205,578.20, 308,356.27 and 65,325.89 is: 97,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,578.20 : 308,356.27 = 65,325.89 : x
  2. Step 2: Convert to fraction form
    205,578.20/308,356.27 = 65,325.89/x
  3. Step 3: Cross multiply
    205,578.20x = 308,356.27 × 65,325.89
  4. Step 4: Simplify right side
    205,578.20x = 20,143,648,382.41
  5. Step 5: Solve for x
    x = 20,143,648,382.41/205,578.20
  6. Step 6: Final answer
    x = 97,985.33

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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.