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Finding the Fourth Proportional to 76,825, 115,256.94 and 21,421

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Solution

The fourth proportional to 76,825, 115,256.94 and 21,421 is: 32,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,825 : 115,256.94 = 21,421 : x
  2. Step 2: Convert to fraction form
    76,825/115,256.94 = 21,421/x
  3. Step 3: Cross multiply
    76,825x = 115,256.94 × 21,421
  4. Step 4: Simplify right side
    76,825x = 2,468,918,911.74
  5. Step 5: Solve for x
    x = 2,468,918,911.74/76,825
  6. Step 6: Final answer
    x = 32,136.92

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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.