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Finding the Fourth Proportional to 84,287.88, 126,450.30 and 31,697.37

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Solution

The fourth proportional to 84,287.88, 126,450.30 and 31,697.37 is: 47,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287.88 : 126,450.30 = 31,697.37 : x
  2. Step 2: Convert to fraction form
    84,287.88/126,450.30 = 31,697.37/x
  3. Step 3: Cross multiply
    84,287.88x = 126,450.30 × 31,697.37
  4. Step 4: Simplify right side
    84,287.88x = 4,008,141,945.71
  5. Step 5: Solve for x
    x = 4,008,141,945.71/84,287.88
  6. Step 6: Final answer
    x = 47,553.00

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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.