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Finding the Fourth Proportional to 209,676, 289,344.20 and 114,182.48

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Solution

The fourth proportional to 209,676, 289,344.20 and 114,182.48 is: 157,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,676 : 289,344.20 = 114,182.48 : x
  2. Step 2: Convert to fraction form
    209,676/289,344.20 = 114,182.48/x
  3. Step 3: Cross multiply
    209,676x = 289,344.20 × 114,182.48
  4. Step 4: Simplify right side
    209,676x = 33,038,038,329.62
  5. Step 5: Solve for x
    x = 33,038,038,329.62/209,676
  6. Step 6: Final answer
    x = 157,567.10

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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.