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Finding the Fourth Proportional to 76,884.98, 115,346.67 and 21,480.50

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Solution

The fourth proportional to 76,884.98, 115,346.67 and 21,480.50 is: 32,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884.98 : 115,346.67 = 21,480.50 : x
  2. Step 2: Convert to fraction form
    76,884.98/115,346.67 = 21,480.50/x
  3. Step 3: Cross multiply
    76,884.98x = 115,346.67 × 21,480.50
  4. Step 4: Simplify right side
    76,884.98x = 2,477,704,144.94
  5. Step 5: Solve for x
    x = 2,477,704,144.94/76,884.98
  6. Step 6: Final answer
    x = 32,226.11

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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.