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Finding the Fourth Proportional to 72,778.52, 109,250.81 and 48,780.64

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Solution

The fourth proportional to 72,778.52, 109,250.81 and 48,780.64 is: 73,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,778.52 : 109,250.81 = 48,780.64 : x
  2. Step 2: Convert to fraction form
    72,778.52/109,250.81 = 48,780.64/x
  3. Step 3: Cross multiply
    72,778.52x = 109,250.81 × 48,780.64
  4. Step 4: Simplify right side
    72,778.52x = 5,329,324,281.14
  5. Step 5: Solve for x
    x = 5,329,324,281.14/72,778.52
  6. Step 6: Final answer
    x = 73,226.61

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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.