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Finding the Fourth Proportional to 81,081.61, 111,898.13 and 45,270.86

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Solution

The fourth proportional to 81,081.61, 111,898.13 and 45,270.86 is: 62,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,081.61 : 111,898.13 = 45,270.86 : x
  2. Step 2: Convert to fraction form
    81,081.61/111,898.13 = 45,270.86/x
  3. Step 3: Cross multiply
    81,081.61x = 111,898.13 × 45,270.86
  4. Step 4: Simplify right side
    81,081.61x = 5,065,723,791.65
  5. Step 5: Solve for x
    x = 5,065,723,791.65/81,081.61
  6. Step 6: Final answer
    x = 62,476.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.