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Finding the Fourth Proportional to 81,823.92, 122,705.64 and 64,327.92

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Solution

The fourth proportional to 81,823.92, 122,705.64 and 64,327.92 is: 96,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,823.92 : 122,705.64 = 64,327.92 : x
  2. Step 2: Convert to fraction form
    81,823.92/122,705.64 = 64,327.92/x
  3. Step 3: Cross multiply
    81,823.92x = 122,705.64 × 64,327.92
  4. Step 4: Simplify right side
    81,823.92x = 7,893,398,593.47
  5. Step 5: Solve for x
    x = 7,893,398,593.47/81,823.92
  6. Step 6: Final answer
    x = 96,468.11

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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.