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Finding the Fourth Proportional to 209,308.05, 288,839.12 and 118,672.70

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Solution

The fourth proportional to 209,308.05, 288,839.12 and 118,672.70 is: 163,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,308.05 : 288,839.12 = 118,672.70 : x
  2. Step 2: Convert to fraction form
    209,308.05/288,839.12 = 118,672.70/x
  3. Step 3: Cross multiply
    209,308.05x = 288,839.12 × 118,672.70
  4. Step 4: Simplify right side
    209,308.05x = 34,277,316,198.46
  5. Step 5: Solve for x
    x = 34,277,316,198.46/209,308.05
  6. Step 6: Final answer
    x = 163,764.92

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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.