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Finding the Fourth Proportional to 81,596.66, 122,337.56 and 31,634.64

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Solution

The fourth proportional to 81,596.66, 122,337.56 and 31,634.64 is: 47,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,596.66 : 122,337.56 = 31,634.64 : x
  2. Step 2: Convert to fraction form
    81,596.66/122,337.56 = 31,634.64/x
  3. Step 3: Cross multiply
    81,596.66x = 122,337.56 × 31,634.64
  4. Step 4: Simplify right side
    81,596.66x = 3,870,104,510.91
  5. Step 5: Solve for x
    x = 3,870,104,510.91/81,596.66
  6. Step 6: Final answer
    x = 47,429.70

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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.