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Finding the Fourth Proportional to 136,978.22, 188,907.57 and 85,995.71

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Solution

The fourth proportional to 136,978.22, 188,907.57 and 85,995.71 is: 118,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,978.22 : 188,907.57 = 85,995.71 : x
  2. Step 2: Convert to fraction form
    136,978.22/188,907.57 = 85,995.71/x
  3. Step 3: Cross multiply
    136,978.22x = 188,907.57 × 85,995.71
  4. Step 4: Simplify right side
    136,978.22x = 16,245,239,661.99
  5. Step 5: Solve for x
    x = 16,245,239,661.99/136,978.22
  6. Step 6: Final answer
    x = 118,597.24

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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.