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Finding the Fourth Proportional to 209,205.12, 288,696 and 119,763.84

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Solution

The fourth proportional to 209,205.12, 288,696 and 119,763.84 is: 165,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,205.12 : 288,696 = 119,763.84 : x
  2. Step 2: Convert to fraction form
    209,205.12/288,696 = 119,763.84/x
  3. Step 3: Cross multiply
    209,205.12x = 288,696 × 119,763.84
  4. Step 4: Simplify right side
    209,205.12x = 34,575,341,552.64
  5. Step 5: Solve for x
    x = 34,575,341,552.64/209,205.12
  6. Step 6: Final answer
    x = 165,270.05

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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.