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Finding the Fourth Proportional to 137,697.32, 190,021.77 and 77,267.82

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Solution

The fourth proportional to 137,697.32, 190,021.77 and 77,267.82 is: 106,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,697.32 : 190,021.77 = 77,267.82 : x
  2. Step 2: Convert to fraction form
    137,697.32/190,021.77 = 77,267.82/x
  3. Step 3: Cross multiply
    137,697.32x = 190,021.77 × 77,267.82
  4. Step 4: Simplify right side
    137,697.32x = 14,682,567,920.44
  5. Step 5: Solve for x
    x = 14,682,567,920.44/137,697.32
  6. Step 6: Final answer
    x = 106,629.29

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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.