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Finding the Fourth Proportional to 81,412.30, 122,024.62 and 31,470.40

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Solution

The fourth proportional to 81,412.30, 122,024.62 and 31,470.40 is: 47,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412.30 : 122,024.62 = 31,470.40 : x
  2. Step 2: Convert to fraction form
    81,412.30/122,024.62 = 31,470.40/x
  3. Step 3: Cross multiply
    81,412.30x = 122,024.62 × 31,470.40
  4. Step 4: Simplify right side
    81,412.30x = 3,840,163,601.25
  5. Step 5: Solve for x
    x = 3,840,163,601.25/81,412.30
  6. Step 6: Final answer
    x = 47,169.33

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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.