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Finding the Fourth Proportional to 76,890.75, 115,336.13 and 21,486.75

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Solution

The fourth proportional to 76,890.75, 115,336.13 and 21,486.75 is: 32,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,890.75 : 115,336.13 = 21,486.75 : x
  2. Step 2: Convert to fraction form
    76,890.75/115,336.13 = 21,486.75/x
  3. Step 3: Cross multiply
    76,890.75x = 115,336.13 × 21,486.75
  4. Step 4: Simplify right side
    76,890.75x = 2,478,198,483.84
  5. Step 5: Solve for x
    x = 2,478,198,483.84/76,890.75
  6. Step 6: Final answer
    x = 32,230.13

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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.