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Finding the Fourth Proportional to 204,675.84, 306,986.88 and 64,435.20

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Solution

The fourth proportional to 204,675.84, 306,986.88 and 64,435.20 is: 96,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,675.84 : 306,986.88 = 64,435.20 : x
  2. Step 2: Convert to fraction form
    204,675.84/306,986.88 = 64,435.20/x
  3. Step 3: Cross multiply
    204,675.84x = 306,986.88 × 64,435.20
  4. Step 4: Simplify right side
    204,675.84x = 19,780,761,010.18
  5. Step 5: Solve for x
    x = 19,780,761,010.18/204,675.84
  6. Step 6: Final answer
    x = 96,644.34

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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.