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Finding the Fourth Proportional to 139,416, 192,394.98 and 75,753.78

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Solution

The fourth proportional to 139,416, 192,394.98 and 75,753.78 is: 104,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,416 : 192,394.98 = 75,753.78 : x
  2. Step 2: Convert to fraction form
    139,416/192,394.98 = 75,753.78/x
  3. Step 3: Cross multiply
    139,416x = 192,394.98 × 75,753.78
  4. Step 4: Simplify right side
    139,416x = 14,574,646,988.02
  5. Step 5: Solve for x
    x = 14,574,646,988.02/139,416
  6. Step 6: Final answer
    x = 104,540.71

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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.