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Finding the Fourth Proportional to 214,879.60, 322,319.40 and 136,082.80

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Solution

The fourth proportional to 214,879.60, 322,319.40 and 136,082.80 is: 204,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,879.60 : 322,319.40 = 136,082.80 : x
  2. Step 2: Convert to fraction form
    214,879.60/322,319.40 = 136,082.80/x
  3. Step 3: Cross multiply
    214,879.60x = 322,319.40 × 136,082.80
  4. Step 4: Simplify right side
    214,879.60x = 43,862,126,446.32
  5. Step 5: Solve for x
    x = 43,862,126,446.32/214,879.60
  6. Step 6: Final answer
    x = 204,124.20

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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.