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Finding the Fourth Proportional to 81,046.48, 121,585.48 and 31,122.91

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Solution

The fourth proportional to 81,046.48, 121,585.48 and 31,122.91 is: 46,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,046.48 : 121,585.48 = 31,122.91 : x
  2. Step 2: Convert to fraction form
    81,046.48/121,585.48 = 31,122.91/x
  3. Step 3: Cross multiply
    81,046.48x = 121,585.48 × 31,122.91
  4. Step 4: Simplify right side
    81,046.48x = 3,784,093,951.35
  5. Step 5: Solve for x
    x = 3,784,093,951.35/81,046.48
  6. Step 6: Final answer
    x = 46,690.42

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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.