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Finding the Fourth Proportional to 136,596, 188,503.92 and 76,980

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Solution

The fourth proportional to 136,596, 188,503.92 and 76,980 is: 106,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,596 : 188,503.92 = 76,980 : x
  2. Step 2: Convert to fraction form
    136,596/188,503.92 = 76,980/x
  3. Step 3: Cross multiply
    136,596x = 188,503.92 × 76,980
  4. Step 4: Simplify right side
    136,596x = 14,511,031,761.60
  5. Step 5: Solve for x
    x = 14,511,031,761.60/136,596
  6. Step 6: Final answer
    x = 106,233.21

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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.