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Finding the Fourth Proportional to 204,035.60, 306,053.40 and 137,680.40

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Solution

The fourth proportional to 204,035.60, 306,053.40 and 137,680.40 is: 206,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,035.60 : 306,053.40 = 137,680.40 : x
  2. Step 2: Convert to fraction form
    204,035.60/306,053.40 = 137,680.40/x
  3. Step 3: Cross multiply
    204,035.60x = 306,053.40 × 137,680.40
  4. Step 4: Simplify right side
    204,035.60x = 42,137,554,533.36
  5. Step 5: Solve for x
    x = 42,137,554,533.36/204,035.60
  6. Step 6: Final answer
    x = 206,520.60

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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.