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Finding the Fourth Proportional to 209,309.55, 288,841.19 and 118,674.20

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Solution

The fourth proportional to 209,309.55, 288,841.19 and 118,674.20 is: 163,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,309.55 : 288,841.19 = 118,674.20 : x
  2. Step 2: Convert to fraction form
    209,309.55/288,841.19 = 118,674.20/x
  3. Step 3: Cross multiply
    209,309.55x = 288,841.19 × 118,674.20
  4. Step 4: Simplify right side
    209,309.55x = 34,277,995,112.72
  5. Step 5: Solve for x
    x = 34,277,995,112.72/209,309.55
  6. Step 6: Final answer
    x = 163,766.99

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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.