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Finding the Fourth Proportional to 136,953.18, 205,469.06 and 80,844.48

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Solution

The fourth proportional to 136,953.18, 205,469.06 and 80,844.48 is: 121,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,953.18 : 205,469.06 = 80,844.48 : x
  2. Step 2: Convert to fraction form
    136,953.18/205,469.06 = 80,844.48/x
  3. Step 3: Cross multiply
    136,953.18x = 205,469.06 × 80,844.48
  4. Step 4: Simplify right side
    136,953.18x = 16,611,038,907.57
  5. Step 5: Solve for x
    x = 16,611,038,907.57/136,953.18
  6. Step 6: Final answer
    x = 121,289.91

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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.