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Finding the Fourth Proportional to 119,786, 179,678.24 and 31,039.28

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Solution

The fourth proportional to 119,786, 179,678.24 and 31,039.28 is: 46,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,786 : 179,678.24 = 31,039.28 : x
  2. Step 2: Convert to fraction form
    119,786/179,678.24 = 31,039.28/x
  3. Step 3: Cross multiply
    119,786x = 179,678.24 × 31,039.28
  4. Step 4: Simplify right side
    119,786x = 5,577,083,201.27
  5. Step 5: Solve for x
    x = 5,577,083,201.27/119,786
  6. Step 6: Final answer
    x = 46,558.72

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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.