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Finding the Fourth Proportional to 81,808.60, 122,712.90 and 29,219.80

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Solution

The fourth proportional to 81,808.60, 122,712.90 and 29,219.80 is: 43,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.60 : 122,712.90 = 29,219.80 : x
  2. Step 2: Convert to fraction form
    81,808.60/122,712.90 = 29,219.80/x
  3. Step 3: Cross multiply
    81,808.60x = 122,712.90 × 29,219.80
  4. Step 4: Simplify right side
    81,808.60x = 3,585,646,395.42
  5. Step 5: Solve for x
    x = 3,585,646,395.42/81,808.60
  6. Step 6: Final answer
    x = 43,829.70

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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.