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Finding the Fourth Proportional to 209,113.56, 288,572.56 and 113,620.94

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Solution

The fourth proportional to 209,113.56, 288,572.56 and 113,620.94 is: 156,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,113.56 : 288,572.56 = 113,620.94 : x
  2. Step 2: Convert to fraction form
    209,113.56/288,572.56 = 113,620.94/x
  3. Step 3: Cross multiply
    209,113.56x = 288,572.56 × 113,620.94
  4. Step 4: Simplify right side
    209,113.56x = 32,787,884,880.64
  5. Step 5: Solve for x
    x = 32,787,884,880.64/209,113.56
  6. Step 6: Final answer
    x = 156,794.64

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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.