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Finding the Fourth Proportional to 140,114.97, 193,362.92 and 79,694.31

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Solution

The fourth proportional to 140,114.97, 193,362.92 and 79,694.31 is: 109,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,114.97 : 193,362.92 = 79,694.31 : x
  2. Step 2: Convert to fraction form
    140,114.97/193,362.92 = 79,694.31/x
  3. Step 3: Cross multiply
    140,114.97x = 193,362.92 × 79,694.31
  4. Step 4: Simplify right side
    140,114.97x = 15,409,924,688.22
  5. Step 5: Solve for x
    x = 15,409,924,688.22/140,114.97
  6. Step 6: Final answer
    x = 109,980.57

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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.