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Finding the Fourth Proportional to 81,495.77, 122,291.31 and 34,106.90

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Solution

The fourth proportional to 81,495.77, 122,291.31 and 34,106.90 is: 51,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,495.77 : 122,291.31 = 34,106.90 : x
  2. Step 2: Convert to fraction form
    81,495.77/122,291.31 = 34,106.90/x
  3. Step 3: Cross multiply
    81,495.77x = 122,291.31 × 34,106.90
  4. Step 4: Simplify right side
    81,495.77x = 4,170,976,699.05
  5. Step 5: Solve for x
    x = 4,170,976,699.05/81,495.77
  6. Step 6: Final answer
    x = 51,180.29

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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.