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Finding the Fourth Proportional to 213,964.56, 320,978.14 and 64,216.70

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Solution

The fourth proportional to 213,964.56, 320,978.14 and 64,216.70 is: 96,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,964.56 : 320,978.14 = 64,216.70 : x
  2. Step 2: Convert to fraction form
    213,964.56/320,978.14 = 64,216.70/x
  3. Step 3: Cross multiply
    213,964.56x = 320,978.14 × 64,216.70
  4. Step 4: Simplify right side
    213,964.56x = 20,612,155,157.51
  5. Step 5: Solve for x
    x = 20,612,155,157.51/213,964.56
  6. Step 6: Final answer
    x = 96,334.44

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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.