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Finding the Fourth Proportional to 139,428.68, 192,407.70 and 75,764.36

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Solution

The fourth proportional to 139,428.68, 192,407.70 and 75,764.36 is: 104,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,428.68 : 192,407.70 = 75,764.36 : x
  2. Step 2: Convert to fraction form
    139,428.68/192,407.70 = 75,764.36/x
  3. Step 3: Cross multiply
    139,428.68x = 192,407.70 × 75,764.36
  4. Step 4: Simplify right side
    139,428.68x = 14,577,646,249.57
  5. Step 5: Solve for x
    x = 14,577,646,249.57/139,428.68
  6. Step 6: Final answer
    x = 104,552.71

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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.