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Finding the Fourth Proportional to 209,363.13, 288,912.78 and 113,869.89

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Solution

The fourth proportional to 209,363.13, 288,912.78 and 113,869.89 is: 157,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,363.13 : 288,912.78 = 113,869.89 : x
  2. Step 2: Convert to fraction form
    209,363.13/288,912.78 = 113,869.89/x
  3. Step 3: Cross multiply
    209,363.13x = 288,912.78 × 113,869.89
  4. Step 4: Simplify right side
    209,363.13x = 32,898,466,478.19
  5. Step 5: Solve for x
    x = 32,898,466,478.19/209,363.13
  6. Step 6: Final answer
    x = 157,135.91

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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.