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Finding the Fourth Proportional to 139,992.60, 193,205.96 and 77,909.37

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Solution

The fourth proportional to 139,992.60, 193,205.96 and 77,909.37 is: 107,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,992.60 : 193,205.96 = 77,909.37 : x
  2. Step 2: Convert to fraction form
    139,992.60/193,205.96 = 77,909.37/x
  3. Step 3: Cross multiply
    139,992.60x = 193,205.96 × 77,909.37
  4. Step 4: Simplify right side
    139,992.60x = 15,052,554,345.33
  5. Step 5: Solve for x
    x = 15,052,554,345.33/139,992.60
  6. Step 6: Final answer
    x = 107,523.93

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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.