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Finding the Fourth Proportional to 81,002.88, 121,503.30 and 27,694.32

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Solution

The fourth proportional to 81,002.88, 121,503.30 and 27,694.32 is: 41,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,002.88 : 121,503.30 = 27,694.32 : x
  2. Step 2: Convert to fraction form
    81,002.88/121,503.30 = 27,694.32/x
  3. Step 3: Cross multiply
    81,002.88x = 121,503.30 × 27,694.32
  4. Step 4: Simplify right side
    81,002.88x = 3,364,951,271.26
  5. Step 5: Solve for x
    x = 3,364,951,271.26/81,002.88
  6. Step 6: Final answer
    x = 41,541.13

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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.