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Finding the Fourth Proportional to 138,249.57, 207,212.53 and 52,804.43

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Solution

The fourth proportional to 138,249.57, 207,212.53 and 52,804.43 is: 79,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,249.57 : 207,212.53 = 52,804.43 : x
  2. Step 2: Convert to fraction form
    138,249.57/207,212.53 = 52,804.43/x
  3. Step 3: Cross multiply
    138,249.57x = 207,212.53 × 52,804.43
  4. Step 4: Simplify right side
    138,249.57x = 10,941,739,535.51
  5. Step 5: Solve for x
    x = 10,941,739,535.51/138,249.57
  6. Step 6: Final answer
    x = 79,144.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.