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Finding the Fourth Proportional to 213,978.60, 320,846.40 and 80,863.20

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Solution

The fourth proportional to 213,978.60, 320,846.40 and 80,863.20 is: 121,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978.60 : 320,846.40 = 80,863.20 : x
  2. Step 2: Convert to fraction form
    213,978.60/320,846.40 = 80,863.20/x
  3. Step 3: Cross multiply
    213,978.60x = 320,846.40 × 80,863.20
  4. Step 4: Simplify right side
    213,978.60x = 25,944,666,612.48
  5. Step 5: Solve for x
    x = 25,944,666,612.48/213,978.60
  6. Step 6: Final answer
    x = 121,248.88

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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.