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Finding the Fourth Proportional to 208,928.60, 288,318.49 and 113,438.96

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Solution

The fourth proportional to 208,928.60, 288,318.49 and 113,438.96 is: 156,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,928.60 : 288,318.49 = 113,438.96 : x
  2. Step 2: Convert to fraction form
    208,928.60/288,318.49 = 113,438.96/x
  3. Step 3: Cross multiply
    208,928.60x = 288,318.49 × 113,438.96
  4. Step 4: Simplify right side
    208,928.60x = 32,706,548,212.78
  5. Step 5: Solve for x
    x = 32,706,548,212.78/208,928.60
  6. Step 6: Final answer
    x = 156,544.14

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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.