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Finding the Fourth Proportional to 76,732, 115,098.06 and 21,328

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Solution

The fourth proportional to 76,732, 115,098.06 and 21,328 is: 31,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,732 : 115,098.06 = 21,328 : x
  2. Step 2: Convert to fraction form
    76,732/115,098.06 = 21,328/x
  3. Step 3: Cross multiply
    76,732x = 115,098.06 × 21,328
  4. Step 4: Simplify right side
    76,732x = 2,454,811,423.68
  5. Step 5: Solve for x
    x = 2,454,811,423.68/76,732
  6. Step 6: Final answer
    x = 31,992.02

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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.