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Finding the Fourth Proportional to 214,711.60, 321,808.20 and 109,476.40

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Solution

The fourth proportional to 214,711.60, 321,808.20 and 109,476.40 is: 164,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,711.60 : 321,808.20 = 109,476.40 : x
  2. Step 2: Convert to fraction form
    214,711.60/321,808.20 = 109,476.40/x
  3. Step 3: Cross multiply
    214,711.60x = 321,808.20 × 109,476.40
  4. Step 4: Simplify right side
    214,711.60x = 35,230,403,226.48
  5. Step 5: Solve for x
    x = 35,230,403,226.48/214,711.60
  6. Step 6: Final answer
    x = 164,082.44

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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.