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Finding the Fourth Proportional to 76,848, 115,272 and 21,444

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Solution

The fourth proportional to 76,848, 115,272 and 21,444 is: 32,166

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,848 : 115,272 = 21,444 : x
  2. Step 2: Convert to fraction form
    76,848/115,272 = 21,444/x
  3. Step 3: Cross multiply
    76,848x = 115,272 × 21,444
  4. Step 4: Simplify right side
    76,848x = 2,471,892,768
  5. Step 5: Solve for x
    x = 2,471,892,768/76,848
  6. Step 6: Final answer
    x = 32,166

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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.