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Finding the Fourth Proportional to 209,963.88, 315,076.44 and 85,304.88

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Solution

The fourth proportional to 209,963.88, 315,076.44 and 85,304.88 is: 128,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.88 : 315,076.44 = 85,304.88 : x
  2. Step 2: Convert to fraction form
    209,963.88/315,076.44 = 85,304.88/x
  3. Step 3: Cross multiply
    209,963.88x = 315,076.44 × 85,304.88
  4. Step 4: Simplify right side
    209,963.88x = 26,877,559,086.56
  5. Step 5: Solve for x
    x = 26,877,559,086.56/209,963.88
  6. Step 6: Final answer
    x = 128,010.39

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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.