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Finding the Fourth Proportional to 139,201.32, 192,093.48 and 77,947.68

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Solution

The fourth proportional to 139,201.32, 192,093.48 and 77,947.68 is: 107,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,201.32 : 192,093.48 = 77,947.68 : x
  2. Step 2: Convert to fraction form
    139,201.32/192,093.48 = 77,947.68/x
  3. Step 3: Cross multiply
    139,201.32x = 192,093.48 × 77,947.68
  4. Step 4: Simplify right side
    139,201.32x = 14,973,241,109.13
  5. Step 5: Solve for x
    x = 14,973,241,109.13/139,201.32
  6. Step 6: Final answer
    x = 107,565.37

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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.