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Finding the Fourth Proportional to 213,832.40, 320,825.40 and 89,211.60

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Solution

The fourth proportional to 213,832.40, 320,825.40 and 89,211.60 is: 133,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832.40 : 320,825.40 = 89,211.60 : x
  2. Step 2: Convert to fraction form
    213,832.40/320,825.40 = 89,211.60/x
  3. Step 3: Cross multiply
    213,832.40x = 320,825.40 × 89,211.60
  4. Step 4: Simplify right side
    213,832.40x = 28,621,347,254.64
  5. Step 5: Solve for x
    x = 28,621,347,254.64/213,832.40
  6. Step 6: Final answer
    x = 133,849.44

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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.