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Finding the Fourth Proportional to 81,005.98, 121,497.74 and 21,845.20

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Solution

The fourth proportional to 81,005.98, 121,497.74 and 21,845.20 is: 32,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,005.98 : 121,497.74 = 21,845.20 : x
  2. Step 2: Convert to fraction form
    81,005.98/121,497.74 = 21,845.20/x
  3. Step 3: Cross multiply
    81,005.98x = 121,497.74 × 21,845.20
  4. Step 4: Simplify right side
    81,005.98x = 2,654,142,429.85
  5. Step 5: Solve for x
    x = 2,654,142,429.85/81,005.98
  6. Step 6: Final answer
    x = 32,764.77

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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.