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Finding the Fourth Proportional to 214,971.40, 322,226.70 and 81,800.20

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Solution

The fourth proportional to 214,971.40, 322,226.70 and 81,800.20 is: 122,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,971.40 : 322,226.70 = 81,800.20 : x
  2. Step 2: Convert to fraction form
    214,971.40/322,226.70 = 81,800.20/x
  3. Step 3: Cross multiply
    214,971.40x = 322,226.70 × 81,800.20
  4. Step 4: Simplify right side
    214,971.40x = 26,358,208,505.34
  5. Step 5: Solve for x
    x = 26,358,208,505.34/214,971.40
  6. Step 6: Final answer
    x = 122,612.63

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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.