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Finding the Fourth Proportional to 213,500, 320,305.44 and 63,740.32

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Solution

The fourth proportional to 213,500, 320,305.44 and 63,740.32 is: 95,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,500 : 320,305.44 = 63,740.32 : x
  2. Step 2: Convert to fraction form
    213,500/320,305.44 = 63,740.32/x
  3. Step 3: Cross multiply
    213,500x = 320,305.44 × 63,740.32
  4. Step 4: Simplify right side
    213,500x = 20,416,371,243.34
  5. Step 5: Solve for x
    x = 20,416,371,243.34/213,500
  6. Step 6: Final answer
    x = 95,627.03

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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.