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Finding the Fourth Proportional to 136,976.88, 205,491.24 and 77,879.28

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Solution

The fourth proportional to 136,976.88, 205,491.24 and 77,879.28 is: 116,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,976.88 : 205,491.24 = 77,879.28 : x
  2. Step 2: Convert to fraction form
    136,976.88/205,491.24 = 77,879.28/x
  3. Step 3: Cross multiply
    136,976.88x = 205,491.24 × 77,879.28
  4. Step 4: Simplify right side
    136,976.88x = 16,003,509,817.51
  5. Step 5: Solve for x
    x = 16,003,509,817.51/136,976.88
  6. Step 6: Final answer
    x = 116,833.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.