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Finding the Fourth Proportional to 81,720.78, 122,589.14 and 31,804.94

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Solution

The fourth proportional to 81,720.78, 122,589.14 and 31,804.94 is: 47,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720.78 : 122,589.14 = 31,804.94 : x
  2. Step 2: Convert to fraction form
    81,720.78/122,589.14 = 31,804.94/x
  3. Step 3: Cross multiply
    81,720.78x = 122,589.14 × 31,804.94
  4. Step 4: Simplify right side
    81,720.78x = 3,898,939,470.38
  5. Step 5: Solve for x
    x = 3,898,939,470.38/81,720.78
  6. Step 6: Final answer
    x = 47,710.50

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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.