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Finding the Fourth Proportional to 204,903.80, 307,355.70 and 137,981.60

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Solution

The fourth proportional to 204,903.80, 307,355.70 and 137,981.60 is: 206,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,903.80 : 307,355.70 = 137,981.60 : x
  2. Step 2: Convert to fraction form
    204,903.80/307,355.70 = 137,981.60/x
  3. Step 3: Cross multiply
    204,903.80x = 307,355.70 × 137,981.60
  4. Step 4: Simplify right side
    204,903.80x = 42,409,431,255.12
  5. Step 5: Solve for x
    x = 42,409,431,255.12/204,903.80
  6. Step 6: Final answer
    x = 206,972.40

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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.