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Finding the Fourth Proportional to 208,770.60, 288,342.72 and 137,469.36

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Solution

The fourth proportional to 208,770.60, 288,342.72 and 137,469.36 is: 189,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770.60 : 288,342.72 = 137,469.36 : x
  2. Step 2: Convert to fraction form
    208,770.60/288,342.72 = 137,469.36/x
  3. Step 3: Cross multiply
    208,770.60x = 288,342.72 × 137,469.36
  4. Step 4: Simplify right side
    208,770.60x = 39,638,289,179.06
  5. Step 5: Solve for x
    x = 39,638,289,179.06/208,770.60
  6. Step 6: Final answer
    x = 189,865.28

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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.