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Finding the Fourth Proportional to 209,209.95, 288,783.77 and 124,326

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Solution

The fourth proportional to 209,209.95, 288,783.77 and 124,326 is: 171,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,209.95 : 288,783.77 = 124,326 : x
  2. Step 2: Convert to fraction form
    209,209.95/288,783.77 = 124,326/x
  3. Step 3: Cross multiply
    209,209.95x = 288,783.77 × 124,326
  4. Step 4: Simplify right side
    209,209.95x = 35,903,330,367.39
  5. Step 5: Solve for x
    x = 35,903,330,367.39/209,209.95
  6. Step 6: Final answer
    x = 171,613.88

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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.