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Finding the Fourth Proportional to 81,655.53, 122,491.02 and 31,739.49

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Solution

The fourth proportional to 81,655.53, 122,491.02 and 31,739.49 is: 47,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,655.53 : 122,491.02 = 31,739.49 : x
  2. Step 2: Convert to fraction form
    81,655.53/122,491.02 = 31,739.49/x
  3. Step 3: Cross multiply
    81,655.53x = 122,491.02 × 31,739.49
  4. Step 4: Simplify right side
    81,655.53x = 3,887,802,504.38
  5. Step 5: Solve for x
    x = 3,887,802,504.38/81,655.53
  6. Step 6: Final answer
    x = 47,612.24

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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.