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Finding the Fourth Proportional to 77,028, 115,542 and 21,624

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Solution

The fourth proportional to 77,028, 115,542 and 21,624 is: 32,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,028 : 115,542 = 21,624 : x
  2. Step 2: Convert to fraction form
    77,028/115,542 = 21,624/x
  3. Step 3: Cross multiply
    77,028x = 115,542 × 21,624
  4. Step 4: Simplify right side
    77,028x = 2,498,480,208
  5. Step 5: Solve for x
    x = 2,498,480,208/77,028
  6. Step 6: Final answer
    x = 32,436

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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.