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Finding the Fourth Proportional to 81,892.35, 122,837.14 and 36,888.68

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Solution

The fourth proportional to 81,892.35, 122,837.14 and 36,888.68 is: 55,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892.35 : 122,837.14 = 36,888.68 : x
  2. Step 2: Convert to fraction form
    81,892.35/122,837.14 = 36,888.68/x
  3. Step 3: Cross multiply
    81,892.35x = 122,837.14 × 36,888.68
  4. Step 4: Simplify right side
    81,892.35x = 4,531,299,949.58
  5. Step 5: Solve for x
    x = 4,531,299,949.58/81,892.35
  6. Step 6: Final answer
    x = 55,332.40

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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.