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Finding the Fourth Proportional to 139,403.66, 192,377.85 and 75,741.98

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Solution

The fourth proportional to 139,403.66, 192,377.85 and 75,741.98 is: 104,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,403.66 : 192,377.85 = 75,741.98 : x
  2. Step 2: Convert to fraction form
    139,403.66/192,377.85 = 75,741.98/x
  3. Step 3: Cross multiply
    139,403.66x = 192,377.85 × 75,741.98
  4. Step 4: Simplify right side
    139,403.66x = 14,571,079,267.14
  5. Step 5: Solve for x
    x = 14,571,079,267.14/139,403.66
  6. Step 6: Final answer
    x = 104,524.37

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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.