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Finding the Fourth Proportional to 81,787.20, 122,683.20 and 35,009.68

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Solution

The fourth proportional to 81,787.20, 122,683.20 and 35,009.68 is: 52,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787.20 : 122,683.20 = 35,009.68 : x
  2. Step 2: Convert to fraction form
    81,787.20/122,683.20 = 35,009.68/x
  3. Step 3: Cross multiply
    81,787.20x = 122,683.20 × 35,009.68
  4. Step 4: Simplify right side
    81,787.20x = 4,295,099,573.38
  5. Step 5: Solve for x
    x = 4,295,099,573.38/81,787.20
  6. Step 6: Final answer
    x = 52,515.55

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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.