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Finding the Fourth Proportional to 81,287.17, 121,918.17 and 31,359.98

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Solution

The fourth proportional to 81,287.17, 121,918.17 and 31,359.98 is: 47,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,287.17 : 121,918.17 = 31,359.98 : x
  2. Step 2: Convert to fraction form
    81,287.17/121,918.17 = 31,359.98/x
  3. Step 3: Cross multiply
    81,287.17x = 121,918.17 × 31,359.98
  4. Step 4: Simplify right side
    81,287.17x = 3,823,351,372.84
  5. Step 5: Solve for x
    x = 3,823,351,372.84/81,287.17
  6. Step 6: Final answer
    x = 47,035.12

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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.