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Finding the Fourth Proportional to 81,458.96, 122,103.18 and 34,101.20

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Solution

The fourth proportional to 81,458.96, 122,103.18 and 34,101.20 is: 51,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,458.96 : 122,103.18 = 34,101.20 : x
  2. Step 2: Convert to fraction form
    81,458.96/122,103.18 = 34,101.20/x
  3. Step 3: Cross multiply
    81,458.96x = 122,103.18 × 34,101.20
  4. Step 4: Simplify right side
    81,458.96x = 4,163,864,961.82
  5. Step 5: Solve for x
    x = 4,163,864,961.82/81,458.96
  6. Step 6: Final answer
    x = 51,116.11

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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.