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Finding the Fourth Proportional to 137,905.60, 206,960.80 and 54,859.20

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Solution

The fourth proportional to 137,905.60, 206,960.80 and 54,859.20 is: 82,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,905.60 : 206,960.80 = 54,859.20 : x
  2. Step 2: Convert to fraction form
    137,905.60/206,960.80 = 54,859.20/x
  3. Step 3: Cross multiply
    137,905.60x = 206,960.80 × 54,859.20
  4. Step 4: Simplify right side
    137,905.60x = 11,353,703,919.36
  5. Step 5: Solve for x
    x = 11,353,703,919.36/137,905.60
  6. Step 6: Final answer
    x = 82,329.53

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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.