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Finding the Fourth Proportional to 139,055.82, 191,898.36 and 75,393.78

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Solution

The fourth proportional to 139,055.82, 191,898.36 and 75,393.78 is: 104,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,055.82 : 191,898.36 = 75,393.78 : x
  2. Step 2: Convert to fraction form
    139,055.82/191,898.36 = 75,393.78/x
  3. Step 3: Cross multiply
    139,055.82x = 191,898.36 × 75,393.78
  4. Step 4: Simplify right side
    139,055.82x = 14,467,942,736.20
  5. Step 5: Solve for x
    x = 14,467,942,736.20/139,055.82
  6. Step 6: Final answer
    x = 104,044.14

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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.