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Finding the Fourth Proportional to 209,635.80, 288,746.28 and 161,144.88

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Solution

The fourth proportional to 209,635.80, 288,746.28 and 161,144.88 is: 221,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,635.80 : 288,746.28 = 161,144.88 : x
  2. Step 2: Convert to fraction form
    209,635.80/288,746.28 = 161,144.88/x
  3. Step 3: Cross multiply
    209,635.80x = 288,746.28 × 161,144.88
  4. Step 4: Simplify right side
    209,635.80x = 46,529,984,641.05
  5. Step 5: Solve for x
    x = 46,529,984,641.05/209,635.80
  6. Step 6: Final answer
    x = 221,956.29

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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.