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Finding the Fourth Proportional to 213,967.64, 320,982.75 and 64,219.77

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Solution

The fourth proportional to 213,967.64, 320,982.75 and 64,219.77 is: 96,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967.64 : 320,982.75 = 64,219.77 : x
  2. Step 2: Convert to fraction form
    213,967.64/320,982.75 = 64,219.77/x
  3. Step 3: Cross multiply
    213,967.64x = 320,982.75 × 64,219.77
  4. Step 4: Simplify right side
    213,967.64x = 20,613,436,452.95
  5. Step 5: Solve for x
    x = 20,613,436,452.95/213,967.64
  6. Step 6: Final answer
    x = 96,339.04

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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.