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Finding the Fourth Proportional to 214,976.80, 322,465.20 and 81,812.80

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Solution

The fourth proportional to 214,976.80, 322,465.20 and 81,812.80 is: 122,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,976.80 : 322,465.20 = 81,812.80 : x
  2. Step 2: Convert to fraction form
    214,976.80/322,465.20 = 81,812.80/x
  3. Step 3: Cross multiply
    214,976.80x = 322,465.20 × 81,812.80
  4. Step 4: Simplify right side
    214,976.80x = 26,381,780,914.56
  5. Step 5: Solve for x
    x = 26,381,780,914.56/214,976.80
  6. Step 6: Final answer
    x = 122,719.20

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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.