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Finding the Fourth Proportional to 139,855.70, 193,000.29 and 76,193.30

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Solution

The fourth proportional to 139,855.70, 193,000.29 and 76,193.30 is: 105,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,855.70 : 193,000.29 = 76,193.30 : x
  2. Step 2: Convert to fraction form
    139,855.70/193,000.29 = 76,193.30/x
  3. Step 3: Cross multiply
    139,855.70x = 193,000.29 × 76,193.30
  4. Step 4: Simplify right side
    139,855.70x = 14,705,328,996.06
  5. Step 5: Solve for x
    x = 14,705,328,996.06/139,855.70
  6. Step 6: Final answer
    x = 105,146.44

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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.