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Finding the Fourth Proportional to 140,996.40, 194,582.16 and 77,340.12

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Solution

The fourth proportional to 140,996.40, 194,582.16 and 77,340.12 is: 106,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,996.40 : 194,582.16 = 77,340.12 : x
  2. Step 2: Convert to fraction form
    140,996.40/194,582.16 = 77,340.12/x
  3. Step 3: Cross multiply
    140,996.40x = 194,582.16 × 77,340.12
  4. Step 4: Simplify right side
    140,996.40x = 15,049,007,604.26
  5. Step 5: Solve for x
    x = 15,049,007,604.26/140,996.40
  6. Step 6: Final answer
    x = 106,733.28

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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.