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Finding the Fourth Proportional to 214,103.10, 320,809.05 and 178,851.90

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Solution

The fourth proportional to 214,103.10, 320,809.05 and 178,851.90 is: 267,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,103.10 : 320,809.05 = 178,851.90 : x
  2. Step 2: Convert to fraction form
    214,103.10/320,809.05 = 178,851.90/x
  3. Step 3: Cross multiply
    214,103.10x = 320,809.05 × 178,851.90
  4. Step 4: Simplify right side
    214,103.10x = 57,377,308,129.70
  5. Step 5: Solve for x
    x = 57,377,308,129.70/214,103.10
  6. Step 6: Final answer
    x = 267,989.15

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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.