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Finding the Fourth Proportional to 138,991.60, 191,771.16 and 82,356.08

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Solution

The fourth proportional to 138,991.60, 191,771.16 and 82,356.08 is: 113,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,991.60 : 191,771.16 = 82,356.08 : x
  2. Step 2: Convert to fraction form
    138,991.60/191,771.16 = 82,356.08/x
  3. Step 3: Cross multiply
    138,991.60x = 191,771.16 × 82,356.08
  4. Step 4: Simplify right side
    138,991.60x = 15,793,520,994.65
  5. Step 5: Solve for x
    x = 15,793,520,994.65/138,991.60
  6. Step 6: Final answer
    x = 113,629.32

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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.