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Finding the Fourth Proportional to 100,731.98, 139,007.31 and 55,409.92

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Solution

The fourth proportional to 100,731.98, 139,007.31 and 55,409.92 is: 76,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.98 : 139,007.31 = 55,409.92 : x
  2. Step 2: Convert to fraction form
    100,731.98/139,007.31 = 55,409.92/x
  3. Step 3: Cross multiply
    100,731.98x = 139,007.31 × 55,409.92
  4. Step 4: Simplify right side
    100,731.98x = 7,702,383,231.48
  5. Step 5: Solve for x
    x = 7,702,383,231.48/100,731.98
  6. Step 6: Final answer
    x = 76,464.13

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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.