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Finding the Fourth Proportional to 140,570.82, 193,992.58 and 76,908.62

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Solution

The fourth proportional to 140,570.82, 193,992.58 and 76,908.62 is: 106,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,570.82 : 193,992.58 = 76,908.62 : x
  2. Step 2: Convert to fraction form
    140,570.82/193,992.58 = 76,908.62/x
  3. Step 3: Cross multiply
    140,570.82x = 193,992.58 × 76,908.62
  4. Step 4: Simplify right side
    140,570.82x = 14,919,700,263.53
  5. Step 5: Solve for x
    x = 14,919,700,263.53/140,570.82
  6. Step 6: Final answer
    x = 106,136.54

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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.