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Finding the Fourth Proportional to 139,805.82, 192,934.21 and 76,143.56

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Solution

The fourth proportional to 139,805.82, 192,934.21 and 76,143.56 is: 105,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,805.82 : 192,934.21 = 76,143.56 : x
  2. Step 2: Convert to fraction form
    139,805.82/192,934.21 = 76,143.56/x
  3. Step 3: Cross multiply
    139,805.82x = 192,934.21 × 76,143.56
  4. Step 4: Simplify right side
    139,805.82x = 14,690,697,595.19
  5. Step 5: Solve for x
    x = 14,690,697,595.19/139,805.82
  6. Step 6: Final answer
    x = 105,079.30

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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.