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Finding the Fourth Proportional to 77,082, 115,623 and 21,678

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Solution

The fourth proportional to 77,082, 115,623 and 21,678 is: 32,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082 : 115,623 = 21,678 : x
  2. Step 2: Convert to fraction form
    77,082/115,623 = 21,678/x
  3. Step 3: Cross multiply
    77,082x = 115,623 × 21,678
  4. Step 4: Simplify right side
    77,082x = 2,506,475,394
  5. Step 5: Solve for x
    x = 2,506,475,394/77,082
  6. Step 6: Final answer
    x = 32,517

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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.