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Finding the Fourth Proportional to 259,880.76, 389,835.72 and 72,906.84

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Solution

The fourth proportional to 259,880.76, 389,835.72 and 72,906.84 is: 109,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,880.76 : 389,835.72 = 72,906.84 : x
  2. Step 2: Convert to fraction form
    259,880.76/389,835.72 = 72,906.84/x
  3. Step 3: Cross multiply
    259,880.76x = 389,835.72 × 72,906.84
  4. Step 4: Simplify right side
    259,880.76x = 28,421,690,464.32
  5. Step 5: Solve for x
    x = 28,421,690,464.32/259,880.76
  6. Step 6: Final answer
    x = 109,364.35

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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.