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Finding the Fourth Proportional to 221,651.16, 305,979.30 and 141,189

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Solution

The fourth proportional to 221,651.16, 305,979.30 and 141,189 is: 194,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,651.16 : 305,979.30 = 141,189 : x
  2. Step 2: Convert to fraction form
    221,651.16/305,979.30 = 141,189/x
  3. Step 3: Cross multiply
    221,651.16x = 305,979.30 × 141,189
  4. Step 4: Simplify right side
    221,651.16x = 43,200,911,387.70
  5. Step 5: Solve for x
    x = 43,200,911,387.70/221,651.16
  6. Step 6: Final answer
    x = 194,904.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.