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Finding the Fourth Proportional to 208,912.62, 288,305.26 and 113,425.50

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Solution

The fourth proportional to 208,912.62, 288,305.26 and 113,425.50 is: 156,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,912.62 : 288,305.26 = 113,425.50 : x
  2. Step 2: Convert to fraction form
    208,912.62/288,305.26 = 113,425.50/x
  3. Step 3: Cross multiply
    208,912.62x = 288,305.26 × 113,425.50
  4. Step 4: Simplify right side
    208,912.62x = 32,701,168,268.13
  5. Step 5: Solve for x
    x = 32,701,168,268.13/208,912.62
  6. Step 6: Final answer
    x = 156,530.36

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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.