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Finding the Fourth Proportional to 81,714.84, 122,540.52 and 31,788.32

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Solution

The fourth proportional to 81,714.84, 122,540.52 and 31,788.32 is: 47,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.84 : 122,540.52 = 31,788.32 : x
  2. Step 2: Convert to fraction form
    81,714.84/122,540.52 = 31,788.32/x
  3. Step 3: Cross multiply
    81,714.84x = 122,540.52 × 31,788.32
  4. Step 4: Simplify right side
    81,714.84x = 3,895,357,262.73
  5. Step 5: Solve for x
    x = 3,895,357,262.73/81,714.84
  6. Step 6: Final answer
    x = 47,670.13

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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.