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Finding the Fourth Proportional to 140,770.40, 194,263.84 and 77,108

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Solution

The fourth proportional to 140,770.40, 194,263.84 and 77,108 is: 106,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,770.40 : 194,263.84 = 77,108 : x
  2. Step 2: Convert to fraction form
    140,770.40/194,263.84 = 77,108/x
  3. Step 3: Cross multiply
    140,770.40x = 194,263.84 × 77,108
  4. Step 4: Simplify right side
    140,770.40x = 14,979,296,174.72
  5. Step 5: Solve for x
    x = 14,979,296,174.72/140,770.40
  6. Step 6: Final answer
    x = 106,409.42

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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.