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Finding the Fourth Proportional to 77,219.88, 115,826.94 and 27,971.88

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Solution

The fourth proportional to 77,219.88, 115,826.94 and 27,971.88 is: 41,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,219.88 : 115,826.94 = 27,971.88 : x
  2. Step 2: Convert to fraction form
    77,219.88/115,826.94 = 27,971.88/x
  3. Step 3: Cross multiply
    77,219.88x = 115,826.94 × 27,971.88
  4. Step 4: Simplify right side
    77,219.88x = 3,239,897,266.45
  5. Step 5: Solve for x
    x = 3,239,897,266.45/77,219.88
  6. Step 6: Final answer
    x = 41,956.78

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1.5x scale

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.