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Finding the Fourth Proportional to 81,762.01, 122,619.32 and 31,830.98

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Solution

The fourth proportional to 81,762.01, 122,619.32 and 31,830.98 is: 47,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.01 : 122,619.32 = 31,830.98 : x
  2. Step 2: Convert to fraction form
    81,762.01/122,619.32 = 31,830.98/x
  3. Step 3: Cross multiply
    81,762.01x = 122,619.32 × 31,830.98
  4. Step 4: Simplify right side
    81,762.01x = 3,903,092,469.65
  5. Step 5: Solve for x
    x = 3,903,092,469.65/81,762.01
  6. Step 6: Final answer
    x = 47,737.24

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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.