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Finding the Fourth Proportional to 205,599.96, 308,396.70 and 65,356.56

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Solution

The fourth proportional to 205,599.96, 308,396.70 and 65,356.56 is: 98,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,599.96 : 308,396.70 = 65,356.56 : x
  2. Step 2: Convert to fraction form
    205,599.96/308,396.70 = 65,356.56/x
  3. Step 3: Cross multiply
    205,599.96x = 308,396.70 × 65,356.56
  4. Step 4: Simplify right side
    205,599.96x = 20,155,747,427.35
  5. Step 5: Solve for x
    x = 20,155,747,427.35/205,599.96
  6. Step 6: Final answer
    x = 98,033.81

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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.