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Finding the Fourth Proportional to 81,051.84, 121,577.76 and 21,893.76

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Solution

The fourth proportional to 81,051.84, 121,577.76 and 21,893.76 is: 32,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,051.84 : 121,577.76 = 21,893.76 : x
  2. Step 2: Convert to fraction form
    81,051.84/121,577.76 = 21,893.76/x
  3. Step 3: Cross multiply
    81,051.84x = 121,577.76 × 21,893.76
  4. Step 4: Simplify right side
    81,051.84x = 2,661,794,298.78
  5. Step 5: Solve for x
    x = 2,661,794,298.78/81,051.84
  6. Step 6: Final answer
    x = 32,840.64

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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.