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Finding the Fourth Proportional to 209,149.67, 288,480.61 and 137,506.79

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Solution

The fourth proportional to 209,149.67, 288,480.61 and 137,506.79 is: 189,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,149.67 : 288,480.61 = 137,506.79 : x
  2. Step 2: Convert to fraction form
    209,149.67/288,480.61 = 137,506.79/x
  3. Step 3: Cross multiply
    209,149.67x = 288,480.61 × 137,506.79
  4. Step 4: Simplify right side
    209,149.67x = 39,668,042,658.34
  5. Step 5: Solve for x
    x = 39,668,042,658.34/209,149.67
  6. Step 6: Final answer
    x = 189,663.42

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1.5x scale

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.