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Finding the Fourth Proportional to 140,849.44, 194,373.76 and 77,185.88

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Solution

The fourth proportional to 140,849.44, 194,373.76 and 77,185.88 is: 106,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,849.44 : 194,373.76 = 77,185.88 : x
  2. Step 2: Convert to fraction form
    140,849.44/194,373.76 = 77,185.88/x
  3. Step 3: Cross multiply
    140,849.44x = 194,373.76 × 77,185.88
  4. Step 4: Simplify right side
    140,849.44x = 15,002,909,714.51
  5. Step 5: Solve for x
    x = 15,002,909,714.51/140,849.44
  6. Step 6: Final answer
    x = 106,517.35

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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.