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Finding the Fourth Proportional to 81,712.86, 122,537.67 and 31,786.14

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Solution

The fourth proportional to 81,712.86, 122,537.67 and 31,786.14 is: 47,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.86 : 122,537.67 = 31,786.14 : x
  2. Step 2: Convert to fraction form
    81,712.86/122,537.67 = 31,786.14/x
  3. Step 3: Cross multiply
    81,712.86x = 122,537.67 × 31,786.14
  4. Step 4: Simplify right side
    81,712.86x = 3,894,999,533.89
  5. Step 5: Solve for x
    x = 3,894,999,533.89/81,712.86
  6. Step 6: Final answer
    x = 47,666.91

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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.