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Finding the Fourth Proportional to 136,509.80, 204,764.70 and 89,270.60

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Solution

The fourth proportional to 136,509.80, 204,764.70 and 89,270.60 is: 133,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,509.80 : 204,764.70 = 89,270.60 : x
  2. Step 2: Convert to fraction form
    136,509.80/204,764.70 = 89,270.60/x
  3. Step 3: Cross multiply
    136,509.80x = 204,764.70 × 89,270.60
  4. Step 4: Simplify right side
    136,509.80x = 18,279,467,627.82
  5. Step 5: Solve for x
    x = 18,279,467,627.82/136,509.80
  6. Step 6: Final answer
    x = 133,905.90

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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.