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Finding the Fourth Proportional to 209,734.80, 289,423.80 and 119,078.88

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Solution

The fourth proportional to 209,734.80, 289,423.80 and 119,078.88 is: 164,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,734.80 : 289,423.80 = 119,078.88 : x
  2. Step 2: Convert to fraction form
    209,734.80/289,423.80 = 119,078.88/x
  3. Step 3: Cross multiply
    209,734.80x = 289,423.80 × 119,078.88
  4. Step 4: Simplify right side
    209,734.80x = 34,464,261,949.34
  5. Step 5: Solve for x
    x = 34,464,261,949.34/209,734.80
  6. Step 6: Final answer
    x = 164,323.05

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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.