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Finding the Fourth Proportional to 203,657.85, 305,389.80 and 83,696.04

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Solution

The fourth proportional to 203,657.85, 305,389.80 and 83,696.04 is: 125,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,657.85 : 305,389.80 = 83,696.04 : x
  2. Step 2: Convert to fraction form
    203,657.85/305,389.80 = 83,696.04/x
  3. Step 3: Cross multiply
    203,657.85x = 305,389.80 × 83,696.04
  4. Step 4: Simplify right side
    203,657.85x = 25,559,916,916.39
  5. Step 5: Solve for x
    x = 25,559,916,916.39/203,657.85
  6. Step 6: Final answer
    x = 125,504.21

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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.