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Finding the Fourth Proportional to 140,572.40, 193,990.38 and 76,910

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Solution

The fourth proportional to 140,572.40, 193,990.38 and 76,910 is: 106,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,572.40 : 193,990.38 = 76,910 : x
  2. Step 2: Convert to fraction form
    140,572.40/193,990.38 = 76,910/x
  3. Step 3: Cross multiply
    140,572.40x = 193,990.38 × 76,910
  4. Step 4: Simplify right side
    140,572.40x = 14,919,800,125.80
  5. Step 5: Solve for x
    x = 14,919,800,125.80/140,572.40
  6. Step 6: Final answer
    x = 106,136.06

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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.