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Finding the Fourth Proportional to 81,451.90, 122,080.65 and 34,066.90

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Solution

The fourth proportional to 81,451.90, 122,080.65 and 34,066.90 is: 51,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,451.90 : 122,080.65 = 34,066.90 : x
  2. Step 2: Convert to fraction form
    81,451.90/122,080.65 = 34,066.90/x
  3. Step 3: Cross multiply
    81,451.90x = 122,080.65 × 34,066.90
  4. Step 4: Simplify right side
    81,451.90x = 4,158,909,295.49
  5. Step 5: Solve for x
    x = 4,158,909,295.49/81,451.90
  6. Step 6: Final answer
    x = 51,059.70

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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.