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Finding the Fourth Proportional to 139,777.56, 192,887.94 and 76,113.96

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Solution

The fourth proportional to 139,777.56, 192,887.94 and 76,113.96 is: 105,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,777.56 : 192,887.94 = 76,113.96 : x
  2. Step 2: Convert to fraction form
    139,777.56/192,887.94 = 76,113.96/x
  3. Step 3: Cross multiply
    139,777.56x = 192,887.94 × 76,113.96
  4. Step 4: Simplify right side
    139,777.56x = 14,681,464,949.64
  5. Step 5: Solve for x
    x = 14,681,464,949.64/139,777.56
  6. Step 6: Final answer
    x = 105,034.49

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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.