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Finding the Fourth Proportional to 214,652.60, 321,719.70 and 109,417.40

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Solution

The fourth proportional to 214,652.60, 321,719.70 and 109,417.40 is: 163,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,652.60 : 321,719.70 = 109,417.40 : x
  2. Step 2: Convert to fraction form
    214,652.60/321,719.70 = 109,417.40/x
  3. Step 3: Cross multiply
    214,652.60x = 321,719.70 × 109,417.40
  4. Step 4: Simplify right side
    214,652.60x = 35,201,733,102.78
  5. Step 5: Solve for x
    x = 35,201,733,102.78/214,652.60
  6. Step 6: Final answer
    x = 163,993.97

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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.