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Finding the Fourth Proportional to 137,104.25, 205,573.34 and 89,662.07

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Solution

The fourth proportional to 137,104.25, 205,573.34 and 89,662.07 is: 134,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,104.25 : 205,573.34 = 89,662.07 : x
  2. Step 2: Convert to fraction form
    137,104.25/205,573.34 = 89,662.07/x
  3. Step 3: Cross multiply
    137,104.25x = 205,573.34 × 89,662.07
  4. Step 4: Simplify right side
    137,104.25x = 18,432,129,725.04
  5. Step 5: Solve for x
    x = 18,432,129,725.04/137,104.25
  6. Step 6: Final answer
    x = 134,438.80

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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.