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Finding the Fourth Proportional to 213,793.62, 320,736.24 and 78,858.18

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Solution

The fourth proportional to 213,793.62, 320,736.24 and 78,858.18 is: 118,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793.62 : 320,736.24 = 78,858.18 : x
  2. Step 2: Convert to fraction form
    213,793.62/320,736.24 = 78,858.18/x
  3. Step 3: Cross multiply
    213,793.62x = 320,736.24 × 78,858.18
  4. Step 4: Simplify right side
    213,793.62x = 25,292,676,146.44
  5. Step 5: Solve for x
    x = 25,292,676,146.44/213,793.62
  6. Step 6: Final answer
    x = 118,304.17

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1.5x scale

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.