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Finding the Fourth Proportional to 259,810.38, 389,671.65 and 72,778.86

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Solution

The fourth proportional to 259,810.38, 389,671.65 and 72,778.86 is: 109,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,810.38 : 389,671.65 = 72,778.86 : x
  2. Step 2: Convert to fraction form
    259,810.38/389,671.65 = 72,778.86/x
  3. Step 3: Cross multiply
    259,810.38x = 389,671.65 × 72,778.86
  4. Step 4: Simplify right side
    259,810.38x = 28,359,858,461.32
  5. Step 5: Solve for x
    x = 28,359,858,461.32/259,810.38
  6. Step 6: Final answer
    x = 109,155.99

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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.