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Finding the Fourth Proportional to 136,907.88, 188,932.87 and 77,291.88

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Solution

The fourth proportional to 136,907.88, 188,932.87 and 77,291.88 is: 106,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,907.88 : 188,932.87 = 77,291.88 : x
  2. Step 2: Convert to fraction form
    136,907.88/188,932.87 = 77,291.88/x
  3. Step 3: Cross multiply
    136,907.88x = 188,932.87 × 77,291.88
  4. Step 4: Simplify right side
    136,907.88x = 14,602,976,716.10
  5. Step 5: Solve for x
    x = 14,602,976,716.10/136,907.88
  6. Step 6: Final answer
    x = 106,662.79

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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.