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Finding the Fourth Proportional to 209,046.67, 288,479.56 and 121,826.21

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Solution

The fourth proportional to 209,046.67, 288,479.56 and 121,826.21 is: 168,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,046.67 : 288,479.56 = 121,826.21 : x
  2. Step 2: Convert to fraction form
    209,046.67/288,479.56 = 121,826.21/x
  3. Step 3: Cross multiply
    209,046.67x = 288,479.56 × 121,826.21
  4. Step 4: Simplify right side
    209,046.67x = 35,144,371,609.55
  5. Step 5: Solve for x
    x = 35,144,371,609.55/209,046.67
  6. Step 6: Final answer
    x = 168,117.35

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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.