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Finding the Fourth Proportional to 213,635.64, 320,354.79 and 78,665.81

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Solution

The fourth proportional to 213,635.64, 320,354.79 and 78,665.81 is: 117,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,635.64 : 320,354.79 = 78,665.81 : x
  2. Step 2: Convert to fraction form
    213,635.64/320,354.79 = 78,665.81/x
  3. Step 3: Cross multiply
    213,635.64x = 320,354.79 × 78,665.81
  4. Step 4: Simplify right side
    213,635.64x = 25,200,967,440.96
  5. Step 5: Solve for x
    x = 25,200,967,440.96/213,635.64
  6. Step 6: Final answer
    x = 117,962.37

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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.