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Finding the Fourth Proportional to 81,598.74, 122,363.55 and 29,021.46

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Solution

The fourth proportional to 81,598.74, 122,363.55 and 29,021.46 is: 43,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598.74 : 122,363.55 = 29,021.46 : x
  2. Step 2: Convert to fraction form
    81,598.74/122,363.55 = 29,021.46/x
  3. Step 3: Cross multiply
    81,598.74x = 122,363.55 × 29,021.46
  4. Step 4: Simplify right side
    81,598.74x = 3,551,168,871.78
  5. Step 5: Solve for x
    x = 3,551,168,871.78/81,598.74
  6. Step 6: Final answer
    x = 43,519.90

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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.