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Finding the Fourth Proportional to 139,779.12, 209,616.84 and 75,724.56

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Solution

The fourth proportional to 139,779.12, 209,616.84 and 75,724.56 is: 113,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,779.12 : 209,616.84 = 75,724.56 : x
  2. Step 2: Convert to fraction form
    139,779.12/209,616.84 = 75,724.56/x
  3. Step 3: Cross multiply
    139,779.12x = 209,616.84 × 75,724.56
  4. Step 4: Simplify right side
    139,779.12x = 15,873,142,977.59
  5. Step 5: Solve for x
    x = 15,873,142,977.59/139,779.12
  6. Step 6: Final answer
    x = 113,558.76

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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.