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Finding the Fourth Proportional to 140,393.16, 193,747.02 and 76,729.56

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Solution

The fourth proportional to 140,393.16, 193,747.02 and 76,729.56 is: 105,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,393.16 : 193,747.02 = 76,729.56 : x
  2. Step 2: Convert to fraction form
    140,393.16/193,747.02 = 76,729.56/x
  3. Step 3: Cross multiply
    140,393.16x = 193,747.02 × 76,729.56
  4. Step 4: Simplify right side
    140,393.16x = 14,866,123,595.91
  5. Step 5: Solve for x
    x = 14,866,123,595.91/140,393.16
  6. Step 6: Final answer
    x = 105,889.23

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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.