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Finding the Fourth Proportional to 213,618.60, 320,617.98 and 113,861.16

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Solution

The fourth proportional to 213,618.60, 320,617.98 and 113,861.16 is: 170,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,618.60 : 320,617.98 = 113,861.16 : x
  2. Step 2: Convert to fraction form
    213,618.60/320,617.98 = 113,861.16/x
  3. Step 3: Cross multiply
    213,618.60x = 320,617.98 × 113,861.16
  4. Step 4: Simplify right side
    213,618.60x = 36,505,935,119.66
  5. Step 5: Solve for x
    x = 36,505,935,119.66/213,618.60
  6. Step 6: Final answer
    x = 170,893.05

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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.