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Finding the Fourth Proportional to 259,804.38, 389,662.65 and 72,772.86

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Solution

The fourth proportional to 259,804.38, 389,662.65 and 72,772.86 is: 109,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,804.38 : 389,662.65 = 72,772.86 : x
  2. Step 2: Convert to fraction form
    259,804.38/389,662.65 = 72,772.86/x
  3. Step 3: Cross multiply
    259,804.38x = 389,662.65 × 72,772.86
  4. Step 4: Simplify right side
    259,804.38x = 28,356,865,475.68
  5. Step 5: Solve for x
    x = 28,356,865,475.68/259,804.38
  6. Step 6: Final answer
    x = 109,146.99

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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.