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Finding the Fourth Proportional to 137,328.59, 206,104.62 and 70,787.75

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Solution

The fourth proportional to 137,328.59, 206,104.62 and 70,787.75 is: 106,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328.59 : 206,104.62 = 70,787.75 : x
  2. Step 2: Convert to fraction form
    137,328.59/206,104.62 = 70,787.75/x
  3. Step 3: Cross multiply
    137,328.59x = 206,104.62 × 70,787.75
  4. Step 4: Simplify right side
    137,328.59x = 14,589,682,314.41
  5. Step 5: Solve for x
    x = 14,589,682,314.41/137,328.59
  6. Step 6: Final answer
    x = 106,239.22

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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.