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Finding the Fourth Proportional to 77,068, 115,602 and 21,664

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Solution

The fourth proportional to 77,068, 115,602 and 21,664 is: 32,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,068 : 115,602 = 21,664 : x
  2. Step 2: Convert to fraction form
    77,068/115,602 = 21,664/x
  3. Step 3: Cross multiply
    77,068x = 115,602 × 21,664
  4. Step 4: Simplify right side
    77,068x = 2,504,401,728
  5. Step 5: Solve for x
    x = 2,504,401,728/77,068
  6. Step 6: Final answer
    x = 32,496

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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.