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Finding the Fourth Proportional to 214,062.40, 320,996.40 and 80,898.40

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Solution

The fourth proportional to 214,062.40, 320,996.40 and 80,898.40 is: 121,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,062.40 : 320,996.40 = 80,898.40 : x
  2. Step 2: Convert to fraction form
    214,062.40/320,996.40 = 80,898.40/x
  3. Step 3: Cross multiply
    214,062.40x = 320,996.40 × 80,898.40
  4. Step 4: Simplify right side
    214,062.40x = 25,968,095,165.76
  5. Step 5: Solve for x
    x = 25,968,095,165.76/214,062.40
  6. Step 6: Final answer
    x = 121,310.87

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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.