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Finding the Fourth Proportional to 81,598.82, 122,309.66 and 31,664.21

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Solution

The fourth proportional to 81,598.82, 122,309.66 and 31,664.21 is: 47,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598.82 : 122,309.66 = 31,664.21 : x
  2. Step 2: Convert to fraction form
    81,598.82/122,309.66 = 31,664.21/x
  3. Step 3: Cross multiply
    81,598.82x = 122,309.66 × 31,664.21
  4. Step 4: Simplify right side
    81,598.82x = 3,872,838,226.88
  5. Step 5: Solve for x
    x = 3,872,838,226.88/81,598.82
  6. Step 6: Final answer
    x = 47,461.94

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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.