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Finding the Fourth Proportional to 205,765.42, 308,677.70 and 63,621.78

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Solution

The fourth proportional to 205,765.42, 308,677.70 and 63,621.78 is: 95,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.42 : 308,677.70 = 63,621.78 : x
  2. Step 2: Convert to fraction form
    205,765.42/308,677.70 = 63,621.78/x
  3. Step 3: Cross multiply
    205,765.42x = 308,677.70 × 63,621.78
  4. Step 4: Simplify right side
    205,765.42x = 19,638,624,720.31
  5. Step 5: Solve for x
    x = 19,638,624,720.31/205,765.42
  6. Step 6: Final answer
    x = 95,441.81

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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.