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Finding the Fourth Proportional to 81,921.76, 122,780.40 and 35,120.32

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Solution

The fourth proportional to 81,921.76, 122,780.40 and 35,120.32 is: 52,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,921.76 : 122,780.40 = 35,120.32 : x
  2. Step 2: Convert to fraction form
    81,921.76/122,780.40 = 35,120.32/x
  3. Step 3: Cross multiply
    81,921.76x = 122,780.40 × 35,120.32
  4. Step 4: Simplify right side
    81,921.76x = 4,312,086,937.73
  5. Step 5: Solve for x
    x = 4,312,086,937.73/81,921.76
  6. Step 6: Final answer
    x = 52,636.65

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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.