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Finding the Fourth Proportional to 270,703.80, 405,976.86 and 81,156.60

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Solution

The fourth proportional to 270,703.80, 405,976.86 and 81,156.60 is: 121,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,703.80 : 405,976.86 = 81,156.60 : x
  2. Step 2: Convert to fraction form
    270,703.80/405,976.86 = 81,156.60/x
  3. Step 3: Cross multiply
    270,703.80x = 405,976.86 × 81,156.60
  4. Step 4: Simplify right side
    270,703.80x = 32,947,701,636.28
  5. Step 5: Solve for x
    x = 32,947,701,636.28/270,703.80
  6. Step 6: Final answer
    x = 121,711.26

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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.