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Finding the Fourth Proportional to 139,832.32, 192,968.31 and 76,169.97

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Solution

The fourth proportional to 139,832.32, 192,968.31 and 76,169.97 is: 105,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,832.32 : 192,968.31 = 76,169.97 : x
  2. Step 2: Convert to fraction form
    139,832.32/192,968.31 = 76,169.97/x
  3. Step 3: Cross multiply
    139,832.32x = 192,968.31 × 76,169.97
  4. Step 4: Simplify right side
    139,832.32x = 14,698,390,383.65
  5. Step 5: Solve for x
    x = 14,698,390,383.65/139,832.32
  6. Step 6: Final answer
    x = 105,114.40

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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.