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Finding the Fourth Proportional to 81,638.76, 122,457.90 and 29,050.28

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Solution

The fourth proportional to 81,638.76, 122,457.90 and 29,050.28 is: 43,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638.76 : 122,457.90 = 29,050.28 : x
  2. Step 2: Convert to fraction form
    81,638.76/122,457.90 = 29,050.28/x
  3. Step 3: Cross multiply
    81,638.76x = 122,457.90 × 29,050.28
  4. Step 4: Simplify right side
    81,638.76x = 3,557,436,283.21
  5. Step 5: Solve for x
    x = 3,557,436,283.21/81,638.76
  6. Step 6: Final answer
    x = 43,575.33

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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.