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Finding the Fourth Proportional to 209,551.89, 289,187.85 and 129,025.87

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Solution

The fourth proportional to 209,551.89, 289,187.85 and 129,025.87 is: 178,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,551.89 : 289,187.85 = 129,025.87 : x
  2. Step 2: Convert to fraction form
    209,551.89/289,187.85 = 129,025.87/x
  3. Step 3: Cross multiply
    209,551.89x = 289,187.85 × 129,025.87
  4. Step 4: Simplify right side
    209,551.89x = 37,312,713,939.68
  5. Step 5: Solve for x
    x = 37,312,713,939.68/209,551.89
  6. Step 6: Final answer
    x = 178,059.54

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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.